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13280256000000 = 216325611131
BaseRepresentation
bin1100000101000000110011…
…1100010000000000000000
31202000120122212121102202100
43001100030330100000000
53220040431014000000
644124510531150400
72540316060321603
oct301201474200000
952016585542670
1013280256000000
114260141329620
1215a5976a45400
13754427172a92
1433caa6c8033a
151806b37e6a00
hexc140cf10000

13280256000000 has 1428 divisors, whose sum is σ = 52714443058992. Its totient is φ = 3194880000000.

The previous prime is 13280255999849. The next prime is 13280256000017. The reversal of 13280256000000 is 65208231.

13280256000000 is a `hidden beast` number, since 1 + 32 + 8 + 0 + 25 + 600 + 0 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 101375999935 + ... + 101376000065.

Almost surely, 213280256000000 is an apocalyptic number.

13280256000000 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 13280256000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26357221529496).

13280256000000 is an abundant number, since it is smaller than the sum of its proper divisors (39434187058992).

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

13280256000000 is an frugal number, since it uses more digits than its factorization.

13280256000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 13280256000000 in words is "thirteen trillion, two hundred eighty billion, two hundred fifty-six million", and thus it is an aban number.