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12315624000416 = 2511191841450957
BaseRepresentation
bin1011001100110111010001…
…1001001100101110100000
31121121100210000022120212122
42303031310121030232200
53103234344221003131
642105415231443412
72410526433523442
oct263156431145640
947540700276778
1012315624000416
113a19032753940
12146aa25686568
136b4487417349
14308117b78492
151655570a2d7b
hexb337464cba0

12315624000416 has 48 divisors (see below), whose sum is σ = 27842738484960. Its totient is φ = 5303378753280.

The previous prime is 12315624000313. The next prime is 12315624000443. The reversal of 12315624000416 is 61400042651321.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 920718791 + ... + 920732166.

It is an arithmetic number, because the mean of its divisors is an integer number (580057051770).

Almost surely, 212315624000416 is an apocalyptic number.

12315624000416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12315624000416 is an abundant number, since it is smaller than the sum of its proper divisors (15527114484544).

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

12315624000416 is a wasteful number, since it uses less digits than its factorization.

12315624000416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841450997 (or 1841450989 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 12315624000416 its reverse (61400042651321), we get a palindrome (73715666651737).

The spelling of 12315624000416 in words is "twelve trillion, three hundred fifteen billion, six hundred twenty-four million, four hundred sixteen", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 6688 1841450957 3682901914 7365803828 14731607656 20255960527 29463215312 34987568183 40511921054 58926430624 69975136366 81023842108 139950272732 162047684216 279900545464 324095368432 384863250013 559801090928 648190736864 769726500026 1119602181856 1539453000052 3078906000104 6157812000208 12315624000416