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13864151232 = 2632231099601
BaseRepresentation
bin11001110100101111…
…00010100011000000
31022210012211212002200
430322113202203000
5211343210314412
610211420513200
71000365224661
oct147227424300
938705755080
1013864151232
115974a52028
12282b0ab800
1313cc4261a9
14957433368
1556224b9dc
hex33a5e28c0

13864151232 has 168 divisors, whose sum is σ = 41851661280. Its totient is φ = 4379443200.

The previous prime is 13864151207. The next prime is 13864151243. The reversal of 13864151232 is 23215146831.

13864151232 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 415 + 1 + 232 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1439232 + ... + 1448832.

Almost surely, 213864151232 is an apocalyptic number.

13864151232 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 13864151232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20925830640).

13864151232 is an abundant number, since it is smaller than the sum of its proper divisors (27987510048).

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

13864151232 is a wasteful number, since it uses less digits than its factorization.

13864151232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9751 (or 9738 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 13864151232 in words is "thirteen billion, eight hundred sixty-four million, one hundred fifty-one thousand, two hundred thirty-two".