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150369340704 = 25311279163861
BaseRepresentation
bin1000110000001010110…
…1100000110100100000
3112101010111102222001220
42030002231200310200
54430424022400304
6153025000455040
713602202210212
oct2140255406440
9471114388056
10150369340704
1158853633300
122518647a480
1311244c4795b
1473c68545b2
153da1238ad9
hex2302b60d20

150369340704 has 144 divisors (see below), whose sum is σ = 439359903360. Its totient is φ = 44989401600.

The previous prime is 150369340703. The next prime is 150369340811. The reversal of 150369340704 is 407043963051.

It is a super-2 number, since 2×1503693407042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150369340703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835734 + ... + 999594.

It is an arithmetic number, because the mean of its divisors is an integer number (3051110440).

Almost surely, 2150369340704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150369340704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219679951680).

150369340704 is an abundant number, since it is smaller than the sum of its proper divisors (288990562656).

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

150369340704 is a wasteful number, since it uses less digits than its factorization.

150369340704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163975 (or 163956 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 150369340704 in words is "one hundred fifty billion, three hundred sixty-nine million, three hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 79 88 96 121 132 158 176 237 242 264 316 352 363 474 484 528 632 726 869 948 968 1056 1264 1452 1738 1896 1936 2528 2607 2904 3476 3792 3872 5214 5808 6952 7584 9559 10428 11616 13904 19118 20856 27808 28677 38236 41712 57354 76472 83424 114708 152944 163861 229416 305888 327722 458832 491583 655444 917664 983166 1310888 1802471 1966332 2621776 3604942 3932664 5243552 5407413 7209884 7865328 10814826 12945019 14419768 15730656 19827181 21629652 25890038 28839536 38835057 39654362 43259304 51780076 57679072 59481543 77670114 79308724 86518608 103560152 118963086 142395209 155340228 158617448 173037216 207120304 237926172 284790418 310680456 317234896 414240608 427185627 475852344 569580836 621360912 634469792 854371254 951704688 1139161672 1242721824 1566347299 1708742508 1903409376 2278323344 3132694598 3417485016 4556646688 4699041897 6265389196 6834970032 9398083794 12530778392 13669940064 18796167588 25061556784 37592335176 50123113568 75184670352 150369340704