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56238633136 = 24731112914347
BaseRepresentation
bin110100011000000101…
…010111000010110000
312101011100220120102101
4310120011113002300
51410134042230021
641500301030144
74030434331360
oct643005270260
9171140816371
1056238633136
112193a273504
12aa96255354
1353c33cb41a
142a170da9a0
1516e2418a91
hexd181570b0

56238633136 has 80 divisors (see below), whose sum is σ = 128668272640. Its totient is φ = 23302494720.

The previous prime is 56238633097. The next prime is 56238633163. The reversal of 56238633136 is 63133683265.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3912715 + ... + 3927061.

It is an arithmetic number, because the mean of its divisors is an integer number (1608353408).

Almost surely, 256238633136 is an apocalyptic number.

56238633136 is a gapful number since it is divisible by the number (56) 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 56238633136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64334136320).

56238633136 is an abundant number, since it is smaller than the sum of its proper divisors (72429639504).

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

56238633136 is a wasteful number, since it uses less digits than its factorization.

56238633136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15522 (or 15516 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 46.

The spelling of 56238633136 in words is "fifty-six billion, two hundred thirty-eight million, six hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1129 1736 2258 3472 4516 7903 9032 14347 15806 18064 28694 31612 34999 57388 63224 69998 100429 114776 126448 139996 200858 229552 244993 279992 401716 444757 489986 559984 803432 889514 979972 1606864 1779028 1959944 3113299 3558056 3919888 6226598 7116112 12453196 16197763 24906392 32395526 49812784 64791052 113384341 129582104 226768682 259164208 453537364 502130653 907074728 1004261306 1814149456 2008522612 3514914571 4017045224 7029829142 8034090448 14059658284 28119316568 56238633136