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150950106888 = 233713923327743
BaseRepresentation
bin1000110010010101010…
…0111101011100001000
3112102121222020221111120
42030211110331130020
54433121211410023
6153202344355240
713622453511120
oct2144524753410
9472558227446
10150950106888
1159021444559
1225308a75b20
131130836aa99
14743da31c80
153dd72078e3
hex232553d708

150950106888 has 128 divisors (see below), whose sum is σ = 436268851200. Its totient is φ = 42633017856.

The previous prime is 150950106887. The next prime is 150950106943. The reversal of 150950106888 is 888601059051.

It is a self number, because there is not a number n which added to its sum of digits gives 150950106888.

It is not an unprimeable number, because it can be changed into a prime (150950106887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5427145 + ... + 5454887.

It is an arithmetic number, because the mean of its divisors is an integer number (3408350400).

Almost surely, 2150950106888 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 150950106888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218134425600).

150950106888 is an abundant number, since it is smaller than the sum of its proper divisors (285318744312).

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

150950106888 is a wasteful number, since it uses less digits than its factorization.

150950106888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28131 (or 28127 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 51.

The spelling of 150950106888 in words is "one hundred fifty billion, nine hundred fifty million, one hundred six thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 139 168 233 278 417 466 556 699 834 932 973 1112 1398 1631 1668 1864 1946 2796 2919 3262 3336 3892 4893 5592 5838 6524 7784 9786 11676 13048 19572 23352 27743 32387 39144 55486 64774 83229 97161 110972 129548 166458 194201 194322 221944 226709 259096 332916 388402 388644 453418 582603 665832 680127 776804 777288 906836 1165206 1360254 1553608 1813672 2330412 2720508 3856277 4660824 5441016 6464119 7712554 11568831 12928238 15425108 19392357 23137662 25856476 26993939 30850216 38784714 45248833 46275324 51712952 53987878 77569428 80981817 90497666 92550648 107975756 135746499 155138856 161963634 180995332 215951512 271492998 323927268 361990664 542985996 647854536 898512541 1085971992 1797025082 2695537623 3594050164 5391075246 6289587787 7188100328 10782150492 12579175574 18868763361 21564300984 25158351148 37737526722 50316702296 75475053444 150950106888