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12494304763776 = 2735113893391
BaseRepresentation
bin1011010111010000111010…
…0110001101111110000000
31122020102222120200211200000
42311310032212031332000
53114201314004420101
642323445424400000
72426453343123543
oct265641646157600
948212876624600
1012494304763776
113a8789434a000
121499591476000
136c8291949aa4
14312a2868685a
1516a013a6b486
hexb5d0e98df80

12494304763776 has 768 divisors, whose sum is σ = 41484035174400. Its totient is φ = 3742507929600.

The previous prime is 12494304763757. The next prime is 12494304763777. The reversal of 12494304763776 is 67736740349421.

12494304763776 is a `hidden beast` number, since 1 + 2 + 4 + 94 + 3 + 0 + 476 + 3 + 7 + 76 = 666.

12494304763776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124943047637762 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12494304763777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3684547041 + ... + 3684550431.

It is an arithmetic number, because the mean of its divisors is an integer number (54015670800).

Almost surely, 212494304763776 is an apocalyptic number.

12494304763776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12494304763776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20742017587200).

12494304763776 is an abundant number, since it is smaller than the sum of its proper divisors (28989730410624).

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

12494304763776 is an frugal number, since it uses more digits than its factorization.

12494304763776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 63.

The spelling of 12494304763776 in words is "twelve trillion, four hundred ninety-four billion, three hundred four million, seven hundred sixty-three thousand, seven hundred seventy-six".