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56863677772000 = 2553113793737277
BaseRepresentation
bin11001110110111100110110…
…10100000111000011100000
321110100010002110210112111201
430323132123110013003200
524423123303002201000
6320534451332250544
714656156642030351
oct1473363324070340
9243303073715451
1056863677772000
111713382873a890
12646468a770a54
1325962b63c9968
141008306847d28
1568924c46296a
hex33b79b5070e0

56863677772000 has 384 divisors, whose sum is σ = 156705930605952. Its totient is φ = 20096833536000.

The previous prime is 56863677771947. The next prime is 56863677772039. The reversal of 56863677772000 is 27777636865.

56863677772000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1525417362 + ... + 1525454638.

It is an arithmetic number, because the mean of its divisors is an integer number (408088360953).

Almost surely, 256863677772000 is an apocalyptic number.

56863677772000 is a gapful number since it is divisible by the number (50) 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 56863677772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78352965302976).

56863677772000 is an abundant number, since it is smaller than the sum of its proper divisors (99842252833952).

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

56863677772000 is a wasteful number, since it uses less digits than its factorization.

56863677772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38287 (or 38269 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 64.

The spelling of 56863677772000 in words is "fifty-six trillion, eight hundred sixty-three billion, six hundred seventy-seven million, seven hundred seventy-two thousand".