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150133320022512 = 24341895631522487
BaseRepresentation
bin100010001000101110100011…
…001101010111100111110000
3201200120121100012121122202010
4202020232203031113213300
5124134241014411210022
61251150143422522520
743423526425224561
oct4210564315274760
9650517305548663
10150133320022512
1143923202204452
1214a08a15136440
1365a06855134b8
1429106c47d4168
1512554a399d50c
hex888ba33579f0

150133320022512 has 160 divisors (see below), whose sum is σ = 402482004503040. Its totient is φ = 48189483274240.

The previous prime is 150133320022507. The next prime is 150133320022529. The reversal of 150133320022512 is 215220023331051.

150133320022512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 150133320022512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97849333 + ... + 99371819.

It is an arithmetic number, because the mean of its divisors is an integer number (2515512528144).

Almost surely, 2150133320022512 is an apocalyptic number.

150133320022512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150133320022512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201241002251520).

150133320022512 is an abundant number, since it is smaller than the sum of its proper divisors (252348684480528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150133320022512 is a wasteful number, since it uses less digits than its factorization.

150133320022512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523191 (or 1523185 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 150133320022512 its reverse (215220023331051), we get a palindrome (365353343353563).

The spelling of 150133320022512 in words is "one hundred fifty trillion, one hundred thirty-three billion, three hundred twenty million, twenty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 89 123 164 178 246 267 328 356 492 534 563 656 712 984 1068 1126 1424 1689 1968 2136 2252 3378 3649 4272 4504 6756 7298 9008 10947 13512 14596 21894 23083 27024 29192 43788 46166 50107 58384 69249 87576 92332 100214 138498 150321 175152 184664 200428 276996 300642 369328 400856 553992 601284 801712 1107984 1202568 1522487 2054387 2405136 3044974 4108774 4567461 6089948 6163161 8217548 9134922 12179896 12326322 16435096 18269844 24359792 24652644 32870192 36539688 49305288 62421967 73079376 98610576 124843934 135501343 187265901 249687868 271002686 374531802 406504029 499375736 542005372 749063604 813008058 857160181 998751472 1084010744 1498127208 1626016116 1714320362 2168021488 2571480543 2996254416 3252032232 3428640724 5142961086 5555555063 6504064464 6857281448 10285922172 11111110126 13714562896 16666665189 20571844344 22222220252 33333330378 35143567421 41143688688 44444440504 66666660756 70287134842 76287256109 88888881008 105430702263 133333321512 140574269684 152574512218 210861404526 228861768327 266666643024 281148539368 305149024436 421722809052 457723536654 562297078736 610298048872 843445618104 915447073308 1220596097744 1686891236208 1830894146616 3127777500469 3661788293232 6255555000938 9383332501407 12511110001876 18766665002814 25022220003752 37533330005628 50044440007504 75066660011256 150133320022512