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10357192116 = 22331072833167
BaseRepresentation
bin10011010010101011…
…00011010110110100
3222201210212212121000
421221111203112310
5132202420121431
64431422323300
7514442452245
oct115125432664
928653785530
1010357192116
114435401807
122010729530
13c909c115b
14703782ccc
154094179e6
hex2695635b4

10357192116 has 96 divisors (see below), whose sum is σ = 27207290880. Its totient is φ = 3406970592.

The previous prime is 10357192067. The next prime is 10357192127. The reversal of 10357192116 is 61129175301.

It is a happy number.

10357192116 is a `hidden beast` number, since 1 + 0 + 357 + 192 + 116 = 666.

10357192116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103571921163 (a number of 31 digits) contains 333 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 3268765 + ... + 3271931.

It is an arithmetic number, because the mean of its divisors is an integer number (283409280).

Almost surely, 210357192116 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 10357192116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13603645440).

10357192116 is an abundant number, since it is smaller than the sum of its proper divisors (16850098764).

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

10357192116 is a wasteful number, since it uses less digits than its factorization.

10357192116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10357192116 in words is "ten billion, three hundred fifty-seven million, one hundred ninety-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 283 321 428 566 642 849 963 1132 1284 1698 1926 2547 2889 3167 3396 3852 5094 5778 6334 7641 9501 10188 11556 12668 15282 19002 28503 30281 30564 38004 57006 60562 85509 90843 114012 121124 171018 181686 272529 338869 342036 363372 545058 677738 817587 896261 1016607 1090116 1355476 1635174 1792522 2033214 2688783 3049821 3270348 3585044 4066428 5377566 6099642 8066349 9149463 10755132 12199284 16132698 18298926 24199047 32265396 36597852 48398094 95899927 96796188 191799854 287699781 383599708 575399562 863099343 1150799124 1726198686 2589298029 3452397372 5178596058 10357192116