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10112116864 = 27137576649
BaseRepresentation
bin10010110101011101…
…01010100010000000
3222002201201202112211
421122232222202000
5131202200214424
64351225431504
7505405401163
oct113256524200
928081652484
1010112116864
11431a032083
121b6263b594
13c51cb4205
146bcdc9ada
153e2b57b94
hex25abaa880

10112116864 has 32 divisors (see below), whose sum is σ = 20292313500. Its totient is φ = 5019144192.

The previous prime is 10112116837. The next prime is 10112116871. The reversal of 10112116864 is 46861121101.

It can be written as a sum of positive squares in 2 ways, for example, as 8873640000 + 1238476864 = 94200^2 + 35192^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270789 + ... + 305860.

Almost surely, 210112116864 is an apocalyptic number.

It is an amenable number.

10112116864 is an abundant number, since it is smaller than the sum of its proper divisors (10180196636).

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

10112116864 is an equidigital number, since it uses as much as digits as its factorization.

10112116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576800 (or 576788 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

Adding to 10112116864 its reverse (46861121101), we get a palindrome (56973237965).

The spelling of 10112116864 in words is "ten billion, one hundred twelve million, one hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 2192 4384 8768 17536 576649 1153298 2306596 4613192 9226384 18452768 36905536 73811072 79000913 158001826 316003652 632007304 1264014608 2528029216 5056058432 10112116864