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10038255156 = 223510994747
BaseRepresentation
bin10010101100101001…
…11001111000110100
3221220120202012100000
421112110321320310
5131024243131111
64340030351300
7503520522006
oct112624717064
927816665300
1010038255156
114291373746
121b4195b530
13c3c8c2a67
146b3280376
153db417c56
hex256539e34

10038255156 has 72 divisors (see below), whose sum is σ = 26555969440. Its totient is φ = 3315352032.

The previous prime is 10038255137. The next prime is 10038255169. The reversal of 10038255156 is 65155283001.

It is a happy number.

10038255156 is a `hidden beast` number, since 100 + 38 + 2 + 5 + 515 + 6 = 666.

10038255156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10038255156.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 58575 + ... + 153321.

Almost surely, 210038255156 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 10038255156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277984720).

10038255156 is an abundant number, since it is smaller than the sum of its proper divisors (16517714284).

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

10038255156 is a wasteful number, since it uses less digits than its factorization.

10038255156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94875 (or 94861 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10038255156 in words is "ten billion, thirty-eight million, two hundred fifty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 243 324 327 436 486 654 972 981 1308 1962 2943 3924 5886 8829 11772 17658 26487 35316 52974 94747 105948 189494 284241 378988 568482 852723 1136964 1705446 2558169 3410892 5116338 7674507 10232676 10327423 15349014 20654846 23023521 30698028 30982269 41309692 46047042 61964538 92094084 92946807 123929076 185893614 278840421 371787228 557680842 836521263 1115361684 1673042526 2509563789 3346085052 5019127578 10038255156