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63112968 = 2332876569
BaseRepresentation
bin1111000011000…
…0011100001000
311101202110201100
43300300130020
5112124103333
610132421400
71364310552
oct360603410
9141673640
1063112968
1132697786
1219177860
13100c9b69
14854c4d2
15581a213
hex3c30708

63112968 has 24 divisors (see below), whose sum is σ = 170931150. Its totient is φ = 21037632.

The previous prime is 63112937. The next prime is 63112999. The reversal of 63112968 is 86921136.

63112968 is a `hidden beast` number, since 631 + 12 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (63112937) and next prime (63112999).

It can be written as a sum of positive squares in only one way, i.e., 63011844 + 101124 = 7938^2 + 318^2 .

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

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 438213 + ... + 438356.

Almost surely, 263112968 is an apocalyptic number.

It is an amenable number.

63112968 is an abundant number, since it is smaller than the sum of its proper divisors (107818182).

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

63112968 is a wasteful number, since it uses less digits than its factorization.

63112968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876581 (or 876574 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 63112968 is about 7944.3670610062. The cubic root of 63112968 is about 398.1434127080.

The spelling of 63112968 in words is "sixty-three million, one hundred twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 876569 1753138 2629707 3506276 5259414 7012552 7889121 10518828 15778242 21037656 31556484 63112968