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63378864 = 2432440131
BaseRepresentation
bin1111000111000…
…1010110110000
311102020222110100
43301301112300
5112211110424
610142232400
71366466013
oct361612660
9142228410
1063378864
113285952a
1219285700
1310190bb3
1485bb37a
15586ddc9
hex3c715b0

63378864 has 30 divisors (see below), whose sum is σ = 177373196. Its totient is φ = 21126240.

The previous prime is 63378863. The next prime is 63378871. The reversal of 63378864 is 46887336.

63378864 is a `hidden beast` number, since 633 + 7 + 8 + 8 + 6 + 4 = 666.

63378864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (63378863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 219922 + ... + 220209.

Almost surely, 263378864 is an apocalyptic number.

It is an amenable number.

63378864 is an abundant number, since it is smaller than the sum of its proper divisors (113994332).

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

63378864 is a wasteful number, since it uses less digits than its factorization.

63378864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440145 (or 440136 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 63378864 is about 7961.0843482531. The cubic root of 63378864 is about 398.7017576422.

It can be divided in two parts, 633 and 78864, that added together give a palindrome (79497).

The spelling of 63378864 in words is "sixty-three million, three hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 440131 880262 1320393 1760524 2640786 3521048 3961179 5281572 7042096 7922358 10563144 15844716 21126288 31689432 63378864