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10068362496 = 28324369949
BaseRepresentation
bin10010110000001111…
…10000010100000000
3221222200101210211200
421120013300110000
5131110000044441
64343023541200
7504334445343
oct113007602400
927880353750
1010068362496
1142a7367845
121b4ba5a800
13c45c0485a
146b727a45a
153dddb37b6
hex2581f0500

10068362496 has 54 divisors (see below), whose sum is σ = 29029577850. Its totient is φ = 3356120064.

The previous prime is 10068362453. The next prime is 10068362519. The reversal of 10068362496 is 69426386001.

10068362496 is a `hidden beast` number, since 10 + 0 + 6 + 8 + 3 + 624 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10064102400 + 4260096 = 100320^2 + 2064^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 2182671 + ... + 2187278.

It is an arithmetic number, because the mean of its divisors is an integer number (537584775).

Almost surely, 210068362496 is an apocalyptic number.

10068362496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10068362496 is an abundant number, since it is smaller than the sum of its proper divisors (18961215354).

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

10068362496 is an equidigital number, since it uses as much as digits as its factorization.

10068362496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369971 (or 4369954 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10068362496 in words is "ten billion, sixty-eight million, three hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4369949 8739898 13109847 17479796 26219694 34959592 39329541 52439388 69919184 78659082 104878776 139838368 157318164 209757552 279676736 314636328 419515104 559353472 629272656 839030208 1118706944 1258545312 1678060416 2517090624 3356120832 5034181248 10068362496