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2255944514256 = 243348523107621
BaseRepresentation
bin100000110101000000110…
…001010111101011010000
321222122222122121022122000
4200311000301113223100
5243430133243424011
64444211104114000
7321662256660126
oct40650061275320
97878878538560
102255944514256
1179a816958634
12305273305900
13134972062a04
147b28c989916
153da37b1e356
hex20d40c57ad0

2255944514256 has 80 divisors (see below), whose sum is σ = 6475589910720. Its totient is φ = 751959020160.

The previous prime is 2255944514251. The next prime is 2255944514269. The reversal of 2255944514256 is 6524154495522.

2255944514256 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 9 + 445 + 142 + 56 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255944514251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20908126 + ... + 21015746.

It is an arithmetic number, because the mean of its divisors is an integer number (80944873884).

Almost surely, 22255944514256 is an apocalyptic number.

It is an amenable number.

2255944514256 is an abundant number, since it is smaller than the sum of its proper divisors (4219645396464).

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

2255944514256 is a wasteful number, since it uses less digits than its factorization.

2255944514256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156161 (or 156149 counting only the distinct ones).

The product of its digits is 17280000, while the sum is 54.

The spelling of 2255944514256 in words is "two trillion, two hundred fifty-five billion, nine hundred forty-four million, five hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 48523 97046 107621 145569 194092 215242 291138 322863 388184 430484 436707 582276 645726 776368 860968 873414 968589 1164552 1291452 1310121 1721936 1746828 1937178 2329104 2582904 2620242 2905767 3493656 3874356 5165808 5240484 5811534 6987312 7748712 10480968 11623068 15497424 20961936 23246136 46492272 5222093783 10444187566 15666281349 20888375132 31332562698 41776750264 46998844047 62665125396 83553500528 93997688094 125330250792 140996532141 187995376188 250660501584 281993064282 375990752376 563986128564 751981504752 1127972257128 2255944514256