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13937766432 = 253145185067
BaseRepresentation
bin11001111101100000…
…10111000000100000
31022222100100220011120
430332300113000200
5212021032011212
610223010412240
71002251026362
oct147660270040
938870326146
1013937766432
115a02562237
12284b891080
13141175c395
14963116d32
1556893d88c
hex33ec17020

13937766432 has 24 divisors (see below), whose sum is σ = 36586637136. Its totient is φ = 4645922112.

The previous prime is 13937766431. The next prime is 13937766449. The reversal of 13937766432 is 23466773931.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×139377664322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13937766431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72592438 + ... + 72592629.

It is an arithmetic number, because the mean of its divisors is an integer number (1524443214).

Almost surely, 213937766432 is an apocalyptic number.

13937766432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13937766432 is an abundant number, since it is smaller than the sum of its proper divisors (22648870704).

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

13937766432 is a wasteful number, since it uses less digits than its factorization.

13937766432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145185080 (or 145185072 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 51.

The spelling of 13937766432 in words is "thirteen billion, nine hundred thirty-seven million, seven hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 145185067 290370134 435555201 580740268 871110402 1161480536 1742220804 2322961072 3484441608 4645922144 6968883216 13937766432