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21431876112 = 2432732038801
BaseRepresentation
bin10011111101011100…
…000111101000010000
32001022121212010000100
4103331130013220100
5322343030013422
613502355252400
71356046640553
oct237534075020
961277763010
1021431876112
1190a880a809
1241a15aa100
1320372372ca
14107453469a
1585680a7ac
hex4fd707a10

21431876112 has 60 divisors (see below), whose sum is σ = 60801153244. Its totient is φ = 7046092800.

The previous prime is 21431876111. The next prime is 21431876117. The reversal of 21431876112 is 21167813412.

21431876112 is a `hidden beast` number, since 2 + 1 + 4 + 31 + 8 + 7 + 611 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17668789776 + 3763086336 = 132924^2 + 61344^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21431876111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1008889 + ... + 1029912.

Almost surely, 221431876112 is an apocalyptic number.

It is an amenable number.

21431876112 is an abundant number, since it is smaller than the sum of its proper divisors (39369277132).

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

21431876112 is a wasteful number, since it uses less digits than its factorization.

21431876112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038888 (or 2038879 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The spelling of 21431876112 in words is "twenty-one billion, four hundred thirty-one million, eight hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 2038801 4077602 6116403 8155204 12232806 16310408 18349209 24465612 32620816 36698418 48931224 73396836 97862448 146793672 148832473 293587344 297664946 446497419 595329892 892994838 1190659784 1339492257 1785989676 2381319568 2678984514 3571979352 5357969028 7143958704 10715938056 21431876112