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56496576693312 = 26357373314449
BaseRepresentation
bin11001101100010001000100…
…11000101000010001000000
321102001000112120100112100000
430312020202120220101000
524401114442113141222
6320054100302200000
714620512560244000
oct1466104230502100
9242030476315300
1056496576693312
1117002077753a58
1264054b9283000
13256a7b1907482
14dd463db04000
1567e913e1c9ac
hex336222628440

56496576693312 has 672 divisors, whose sum is σ = 196123214560000. Its totient is φ = 16118741753856.

The previous prime is 56496576693301. The next prime is 56496576693331. The reversal of 56496576693312 is 21339667569465.

56496576693312 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 6 + 576 + 6 + 9 + 33 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3910061064 + ... + 3910075512.

Almost surely, 256496576693312 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 56496576693312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98061607280000).

56496576693312 is an abundant number, since it is smaller than the sum of its proper divisors (139626637866688).

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

56496576693312 is an equidigital number, since it uses as much as digits as its factorization.

56496576693312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15230 (or 15194 counting only the distinct ones).

The product of its digits is 1322697600, while the sum is 72.

The spelling of 56496576693312 in words is "fifty-six trillion, four hundred ninety-six billion, five hundred seventy-six million, six hundred ninety-three thousand, three hundred twelve".