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10150105956 = 22337191119689
BaseRepresentation
bin10010111001111111…
…00101001101100100
3222012101012210210020
421130333211031210
5131241411342311
64355103555140
7506346322434
oct113477451544
928171183706
1010150105956
114339519921
121b732bbab0
13c59b25673
146c40782c4
153e615dc06
hex25cfe5364

10150105956 has 48 divisors (see below), whose sum is σ = 24451230720. Its totient is φ = 3274663680.

The previous prime is 10150105883. The next prime is 10150106023. The reversal of 10150105956 is 65950105101.

It is a super-3 number, since 3×101501059563 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24960 + ... + 144648.

It is an arithmetic number, because the mean of its divisors is an integer number (509400640).

Almost surely, 210150105956 is an apocalyptic number.

It is an amenable number.

10150105956 is an abundant number, since it is smaller than the sum of its proper divisors (14301124764).

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

10150105956 is a wasteful number, since it uses less digits than its factorization.

10150105956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119924 (or 119922 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 33.

The spelling of 10150105956 in words is "ten billion, one hundred fifty million, one hundred five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 37 74 111 148 191 222 382 444 573 764 1146 2292 7067 14134 21201 28268 42402 84804 119689 239378 359067 478756 718134 1436268 4428493 8856986 13285479 17713972 22860599 26570958 45721198 53141916 68581797 91442396 137163594 274327188 845842163 1691684326 2537526489 3383368652 5075052978 10150105956