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112352253264 = 24321136904637
BaseRepresentation
bin110100010100010110…
…1110101010101010000
3101202000000120211020100
41220220231311111100
53320044134101024
6123340334412400
711055123252456
oct1505055652520
9352000524210
10112352253264
1143714a10879
1219936661100
13a796938c44
14561b7749d6
152dc888b7c9
hex1a28b75550

112352253264 has 60 divisors (see below), whose sum is σ = 317212878996. Its totient is φ = 37119323136.

The previous prime is 112352253239. The next prime is 112352253287. The reversal of 112352253264 is 462352253211.

112352253264 is a `hidden beast` number, since 1 + 1 + 23 + 522 + 53 + 2 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29719001664 + 82633251600 = 172392^2 + 287460^2 .

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 11 ways as a sum of consecutive naturals, for example, 3436047 + ... + 3468590.

Almost surely, 2112352253264 is an apocalyptic number.

It is an amenable number.

112352253264 is an abundant number, since it is smaller than the sum of its proper divisors (204860625732).

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

112352253264 is a wasteful number, since it uses less digits than its factorization.

112352253264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6904764 (or 6904755 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 112352253264 in words is "one hundred twelve billion, three hundred fifty-two million, two hundred fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 6904637 13809274 20713911 27618548 41427822 55237096 62141733 82855644 110474192 124283466 165711288 248566932 331422576 497133864 780223981 994267728 1560447962 2340671943 3120895924 4681343886 6241791848 7022015829 9362687772 12483583696 14044031658 18725375544 28088063316 37450751088 56176126632 112352253264