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12884680768 = 264733112941
BaseRepresentation
bin10111111111111110…
…01010000001000000
31020020221210121012211
423333333022001000
5202341434241033
65530311231504
7634202656651
oct137777120100
936227717184
1012884680768
115512080403
1225b7078594
1312a452647b
148a330b528
155062732cd
hex2fffca040

12884680768 has 56 divisors (see below), whose sum is σ = 26192951424. Its totient is φ = 6285734400.

The previous prime is 12884680751. The next prime is 12884680771. The reversal of 12884680768 is 86708648821.

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, 989178 + ... + 1002118.

Almost surely, 212884680768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12884680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096475712).

12884680768 is an abundant number, since it is smaller than the sum of its proper divisors (13308270656).

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

12884680768 is a wasteful number, since it uses less digits than its factorization.

12884680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13331 (or 13321 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 58.

The spelling of 12884680768 in words is "twelve billion, eight hundred eighty-four million, six hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 188 331 376 662 752 1324 1504 2648 3008 5296 10592 12941 15557 21184 25882 31114 51764 62228 103528 124456 207056 248912 414112 497824 608227 828224 995648 1216454 2432908 4283471 4865816 8566942 9731632 17133884 19463264 34267768 38926528 68535536 137071072 201323137 274142144 402646274 805292548 1610585096 3221170192 6442340384 12884680768