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12883660680 = 23351123479029
BaseRepresentation
bin10111111111110110…
…10000111110001000
31020020212212202220210
423333323100332020
5202341204120210
65530233321120
7634161210642
oct137773207610
936225782823
1012883660680
115511543a60
1225b68661a0
1312a425a077
148a3123892
15506120e20
hex2ffed0f88

12883660680 has 256 divisors, whose sum is σ = 44939059200. Its totient is φ = 2923627520.

The previous prime is 12883660637. The next prime is 12883660687. The reversal of 12883660680 is 8606638821.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12883660687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1422406 + ... + 1431434.

It is an arithmetic number, because the mean of its divisors is an integer number (175543200).

Almost surely, 212883660680 is an apocalyptic number.

12883660680 is a gapful number since it is divisible by the number (10) 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 12883660680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22469529600).

12883660680 is an abundant number, since it is smaller than the sum of its proper divisors (32055398520).

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

12883660680 is a wasteful number, since it uses less digits than its factorization.

12883660680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9124 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 12883660680 in words is "twelve billion, eight hundred eighty-three million, six hundred sixty thousand, six hundred eighty".