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12674255616 = 28321117231279
BaseRepresentation
bin10111100110111000…
…11100101100000000
31012201021211220011200
423303130130230000
5201424102134431
65453353141200
7626036252361
oct136334345400
935637756150
1012674255616
115414317920
1225586ba800
13126ca5bc49
148833b3b68
154e2a59ee6
hex2f371cb00

12674255616 has 432 divisors, whose sum is σ = 44079759360. Its totient is φ = 3454894080.

The previous prime is 12674255603. The next prime is 12674255623. The reversal of 12674255616 is 61655247621.

12674255616 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 4 + 25 + 5 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9908865 + ... + 9910143.

It is an arithmetic number, because the mean of its divisors is an integer number (102036480).

Almost surely, 212674255616 is an apocalyptic number.

12674255616 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 12674255616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22039879680).

12674255616 is an abundant number, since it is smaller than the sum of its proper divisors (31405503744).

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

12674255616 is a wasteful number, since it uses less digits than its factorization.

12674255616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1335 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 12674255616 in words is "twelve billion, six hundred seventy-four million, two hundred fifty-five thousand, six hundred sixteen".