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56277868787712 = 2113411132372393
BaseRepresentation
bin11001100101111001101100…
…11000001011100000000000
321101021010000102211202220000
430302330312120023200000
524334024033402201322
6315405410200520000
714565641023566105
oct1462746630134000
9241233012752800
1056277868787712
1116a28345851450
12638b040480000
132552c9880b190
14dc7c131a0aac
15678db33aa3ac
hex332f3660b800

56277868787712 has 480 divisors, whose sum is σ = 197485573325040. Its totient is φ = 15742054563840.

The previous prime is 56277868787711. The next prime is 56277868787849. The reversal of 56277868787712 is 21778786877265.

56277868787712 is a `hidden beast` number, since 56 + 277 + 86 + 87 + 87 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56277868787711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22535788 + ... + 24908180.

Almost surely, 256277868787712 is an apocalyptic number.

56277868787712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56277868787712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98742786662520).

56277868787712 is an abundant number, since it is smaller than the sum of its proper divisors (141207704537328).

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

56277868787712 is a wasteful number, since it uses less digits than its factorization.

56277868787712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372451 (or 2372422 counting only the distinct ones).

The product of its digits is 6195732480, while the sum is 81.

The spelling of 56277868787712 in words is "fifty-six trillion, two hundred seventy-seven billion, eight hundred sixty-eight million, seven hundred eighty-seven thousand, seven hundred twelve".