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10319153152 = 21171165437
BaseRepresentation
bin10011001110001000…
…11100100000000000
3222122011022021221111
421213010130200000
5132113200400102
64423543133104
7513501232420
oct114704344000
928564267844
1010319153152
114415990550
121bbba44194
13c85b630a9
146dc6c0480
15405e01cd7
hex26711c800

10319153152 has 96 divisors (see below), whose sum is σ = 25724986560. Its totient is φ = 4020387840.

The previous prime is 10319153123. The next prime is 10319153171. The reversal of 10319153152 is 25135191301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124978 + ... + 190414.

It is an arithmetic number, because the mean of its divisors is an integer number (267968610).

Almost surely, 210319153152 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 10319153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12862493280).

10319153152 is an abundant number, since it is smaller than the sum of its proper divisors (15405833408).

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

10319153152 is an equidigital number, since it uses as much as digits as its factorization.

10319153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65477 (or 65457 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The spelling of 10319153152 in words is "ten billion, three hundred nineteen million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2048 2464 2816 3584 4928 5632 7168 9856 11264 14336 19712 22528 39424 65437 78848 130874 157696 261748 458059 523496 719807 916118 1046992 1439614 1832236 2093984 2879228 3664472 4187968 5038649 5758456 7328944 8375936 10077298 11516912 14657888 16751872 20154596 23033824 29315776 33503744 40309192 46067648 58631552 67007488 80618384 92135296 117263104 134014976 161236768 184270592 234526208 322473536 368541184 469052416 644947072 737082368 938104832 1289894144 1474164736 2579788288 5159576576 10319153152