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13700136960 = 21533519163
BaseRepresentation
bin11001100001001011…
…11000000000000000
31022100210020001211000
430300211320000000
5211024213340320
610143241252000
7663334146156
oct146045700000
938323201730
1013700136960
1158a0408744
1227a4194000
1313a445b523
1493d73b3d6
15552b4ec90
hex330978000

13700136960 has 512 divisors, whose sum is σ = 51589152000. Its totient is φ = 3439853568.

The previous prime is 13700136959. The next prime is 13700136971. The reversal of 13700136960 is 6963100731.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84049839 + ... + 84050001.

Almost surely, 213700136960 is an apocalyptic number.

13700136960 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 13700136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25794576000).

13700136960 is an abundant number, since it is smaller than the sum of its proper divisors (37889015040).

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

13700136960 is an equidigital number, since it uses as much as digits as its factorization.

13700136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 13700136960 in words is "thirteen billion, seven hundred million, one hundred thirty-six thousand, nine hundred sixty".