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13937665664 = 271313960259
BaseRepresentation
bin11001111101011111…
…11110011010000000
31022222100011202221102
430332233332122000
5212021020300124
610223004313532
71002250126526
oct147657763200
938870152842
1013937665664
115a024a355a
12284b8428a8
131411725560
149630cc316
1556891daae
hex33ebfe680

13937665664 has 64 divisors (see below), whose sum is σ = 30117948000. Its totient is φ = 6386383872.

The previous prime is 13937665657. The next prime is 13937665697. The reversal of 13937665664 is 46656673931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×139376656642 (a number of 21 digits) contains 22 as substring.

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, 201167 + ... + 261425.

Almost surely, 213937665664 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 13937665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058974000).

13937665664 is an abundant number, since it is smaller than the sum of its proper divisors (16180282336).

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

13937665664 is a wasteful number, since it uses less digits than its factorization.

13937665664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60425 (or 60413 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 56.

The spelling of 13937665664 in words is "thirteen billion, nine hundred thirty-seven million, six hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 139 208 278 416 556 832 1112 1664 1807 2224 3614 4448 7228 8896 14456 17792 28912 57824 60259 115648 120518 231296 241036 482072 783367 964144 1566734 1928288 3133468 3856576 6266936 7713152 8376001 12533872 16752002 25067744 33504004 50135488 67008008 100270976 108888013 134016016 217776026 268032032 435552052 536064064 871104104 1072128128 1742208208 3484416416 6968832832 13937665664