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52816000032 = 25321271444007
BaseRepresentation
bin110001001100000101…
…000011010000100000
312001022211121210110100
4301030011003100200
51331131344000112
640132514102400
73546554410245
oct611405032040
9161284553410
1052816000032
1120443289604
12a29bb7aa00
134c992ac833
1427b071b5cc
151591be02dc
hexc4c143420

52816000032 has 72 divisors (see below), whose sum is σ = 151378246656. Its totient is φ = 17466696576.

The previous prime is 52816000009. The next prime is 52816000037. The reversal of 52816000032 is 23000061825.

52816000032 is a `hidden beast` number, since 5 + 28 + 1 + 600 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (52816000037) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 685428 + ... + 758579.

It is an arithmetic number, because the mean of its divisors is an integer number (2102475648).

Almost surely, 252816000032 is an apocalyptic number.

It is an amenable number.

52816000032 is an abundant number, since it is smaller than the sum of its proper divisors (98562246624).

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

52816000032 is a wasteful number, since it uses less digits than its factorization.

52816000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444150 (or 1444139 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 52816000032 its reverse (23000061825), we get a palindrome (75816061857).

The spelling of 52816000032 in words is "fifty-two billion, eight hundred sixteen million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 9144 12192 18288 36576 1444007 2888014 4332021 5776028 8664042 11552056 12996063 17328084 23104112 25992126 34656168 46208224 51984252 69312336 103968504 138624672 183388889 207937008 366777778 415874016 550166667 733555556 1100333334 1467111112 1650500001 2200666668 2934222224 3301000002 4401333336 5868444448 6602000004 8802666672 13204000008 17605333344 26408000016 52816000032