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56240199198720 = 2113257917344651
BaseRepresentation
bin11001100100110011100010…
…00110000110100000000000
321101010111210011212101022100
430302121301012012200000
524332414411443324340
6315340220230510400
714563135364426355
oct1462316106064000
9241114704771270
1056240199198720
1116a133752a5719
126383888b05400
13254c5744bab54
14dc607c2da62c
15677e0b2a0830
hex332671186800

56240199198720 has 576 divisors, whose sum is σ = 198531150854400. Its totient is φ = 14721623654400.

The previous prime is 56240199198707. The next prime is 56240199198731. The reversal of 56240199198720 is 2789199104265.

56240199198720 is a `hidden beast` number, since 5 + 62 + 401 + 9 + 91 + 9 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1259528395 + ... + 1259573045.

It is an arithmetic number, because the mean of its divisors is an integer number (344672136900).

Almost surely, 256240199198720 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 56240199198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99265575427200).

56240199198720 is an abundant number, since it is smaller than the sum of its proper divisors (142290951655680).

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

56240199198720 is a wasteful number, since it uses less digits than its factorization.

56240199198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44936 (or 44913 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 56240199198720 in words is "fifty-six trillion, two hundred forty billion, one hundred ninety-nine million, one hundred ninety-eight thousand, seven hundred twenty".