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63078912 = 2936132
BaseRepresentation
bin1111000010100…
…0001000000000
311101200202000000
43300220020000
5112122011122
610132000000
71364106351
oct360501000
9141622000
1063078912
1132674136
1219160000
13100b7500
14853dd28
1558100ac
hex3c28200

63078912 has 210 divisors, whose sum is σ = 204619437. Its totient is φ = 19408896.

The previous prime is 63078907. The next prime is 63078913. The reversal of 63078912 is 21987036.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

63078912 is a `hidden beast` number, since 630 + 7 + 8 + 9 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 9144576 = 7344^2 + 3024^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5616.

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 (63078913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 4852218 + ... + 4852230.

Almost surely, 263078912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63078912

63078912 is an abundant number, since it is smaller than the sum of its proper divisors (141540525).

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

63078912 is an frugal number, since it uses more digits than its factorization.

63078912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 63078912 is about 7942.2233662873. The cubic root of 63078912 is about 398.0717865849.

The spelling of 63078912 in words is "sixty-three million, seventy-eight thousand, nine hundred twelve".