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56693912375296 = 212712
BaseRepresentation
bin11001110010000000101001…
…00000100001000000000000
321102201212220020020211121101
430321000110200201000000
524412333113032002141
6320324453534504144
714641000000000000
oct1471002440410000
9242655806224541
1056693912375296
111707883158a639
1264377b0665054
13258329cc541c1
141000000000000
15684b13509531
hex339014821000

56693912375296 has 169 divisors, whose sum is σ = 132269647372591. Its totient is φ = 24297391017984.

The previous prime is 56693912375291. The next prime is 56693912375311. The reversal of 56693912375296 is 69257321939665.

The square root of 56693912375296 is 7529536.

The cubic root of 56693912375296 is 38416.

It is a perfect power (a square, a cube, a biquadrate, a 6-th power, a 12-th power), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (992023200) is a multiple of the sum of its prime divisors (9).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (56693912375291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 8099130339325 + ... + 8099130339331.

Almost surely, 256693912375296 is an apocalyptic number.

56693912375296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

56693912375296 is the 7529536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56693912375296

56693912375296 is an abundant number, since it is smaller than the sum of its proper divisors (75575734997295).

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

56693912375296 is an frugal number, since it uses more digits than its factorization.

56693912375296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 9 counting only the distinct ones).

The product of its digits is 992023200, while the sum is 73.

The spelling of 56693912375296 in words is "fifty-six trillion, six hundred ninety-three billion, nine hundred twelve million, three hundred seventy-five thousand, two hundred ninety-six".