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56780330246640 = 2437571113324209
BaseRepresentation
bin11001110100100001100110…
…11010100010000111110000
321110001010221211201120000000
430322100303122202013300
524420242104020343030
6320432305033430000
714650146341533530
oct1472206332420760
9243033854646000
1056780330246640
1117101448189420
1264504a986b300
13258b4928b2910
14100427b2814c0
15686ec0154860
hex33a4336a21f0

56780330246640 has 1280 divisors, whose sum is σ = 265835185459200. Its totient is φ = 10890898882560.

The previous prime is 56780330246639. The next prime is 56780330246681. The reversal of 56780330246640 is 4664203308765.

56780330246640 is a `hidden beast` number, since 5 + 6 + 7 + 8 + 0 + 330 + 246 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 174972856 + ... + 175297064.

It is an arithmetic number, because the mean of its divisors is an integer number (207683738640).

Almost surely, 256780330246640 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 56780330246640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132917592729600).

56780330246640 is an abundant number, since it is smaller than the sum of its proper divisors (209054855212560).

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

56780330246640 is a wasteful number, since it uses less digits than its factorization.

56780330246640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324274 (or 324250 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 56780330246640 in words is "fifty-six trillion, seven hundred eighty billion, three hundred thirty million, two hundred forty-six thousand, six hundred forty".