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63427415104 = 26314812
BaseRepresentation
bin111011000100100100…
…011000110001000000
320001201100212112101101
4323010210120301000
52014344404240404
645045501344144
74403535063364
oct730444306100
9201640775341
1063427415104
1124999138829
1210361868054
135c9a861571
1430d9b592a4
1519b35c32a4
hexec4918c40

63427415104 has 21 divisors (see below), whose sum is σ = 125867775061. Its totient is φ = 31712700160.

The previous prime is 63427415099. The next prime is 63427415143. The reversal of 63427415104 is 40151472436.

The square root of 63427415104 is 251848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3813309504 + 59614105600 = 61752^2 + 244160^2 .

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 1999044 + ... + 2030524.

Almost surely, 263427415104 is an apocalyptic number.

63427415104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

63427415104 is the 251848-th square number.

It is an amenable number.

63427415104 is a deficient number, since it is larger than the sum of its proper divisors (62440359957).

63427415104 is an frugal number, since it uses more digits than its factorization.

63427415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62974 (or 31483 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 63427415104 in words is "sixty-three billion, four hundred twenty-seven million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 31481 62962 125924 251848 503696 1007392 2014784 991053361 1982106722 3964213444 7928426888 15856853776 31713707552 63427415104