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13685037912 = 23337213791259
BaseRepresentation
bin11001011111011000…
…10001101101011000
31022022201210221211000
430233230101231120
5211011332203122
610141541505000
7663061621500
oct145754215530
938281727730
1013685037912
115892935597
12279b112160
1313a12a2a90
1493b72aa00
1555166b0ac
hex32fb11b58

13685037912 has 384 divisors, whose sum is σ = 48263040000. Its totient is φ = 3560723712.

The previous prime is 13685037857. The next prime is 13685037931. The reversal of 13685037912 is 21973058631.

13685037912 is a `hidden beast` number, since 1 + 3 + 68 + 503 + 79 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10869139 + ... + 10870397.

It is an arithmetic number, because the mean of its divisors is an integer number (125685000).

Almost surely, 213685037912 is an apocalyptic number.

13685037912 is a gapful number since it is divisible by the number (12) 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 13685037912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520000).

13685037912 is an abundant number, since it is smaller than the sum of its proper divisors (34578002088).

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

13685037912 is a wasteful number, since it uses less digits than its factorization.

13685037912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13685037912 in words is "thirteen billion, six hundred eighty-five million, thirty-seven thousand, nine hundred twelve".