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56843772935040 = 273357131723591567
BaseRepresentation
bin11001110110010111110001…
…11001001011101110000000
321110021012201021100001102000
430323023320321023232000
524422312021332410130
6320521400242424000
714654553453511620
oct1473137071135600
9243235637301360
1056843772935040
11171263439a9203
126460854662000
132594463661020
141007379054880
15688984c43260
hex33b2f8e4bb80

56843772935040 has 4096 divisors, whose sum is σ = 278580363264000. Its totient is φ = 10607361785856.

The previous prime is 56843772934997. The next prime is 56843772935087. The reversal of 56843772935040 is 4053927734865.

It is a happy number.

56843772935040 is a `hidden beast` number, since 5 + 6 + 8 + 4 + 37 + 7 + 2 + 93 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 36275540337 + ... + 36275541903.

It is an arithmetic number, because the mean of its divisors is an integer number (68012784000).

Almost surely, 256843772935040 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 56843772935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139290181632000).

56843772935040 is an abundant number, since it is smaller than the sum of its proper divisors (221736590328960).

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

56843772935040 is a wasteful number, since it uses less digits than its factorization.

56843772935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 56843772935040 in words is "fifty-six trillion, eight hundred forty-three billion, seven hundred seventy-two million, nine hundred thirty-five thousand, forty".