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252240541015572 = 223319122924240261
BaseRepresentation
bin111001010110100101010011…
…110110000101111000010100
31020002002221220222222211112000
4321112211103312011320110
5231030202111444444242
62252245412124355300
7104062530515323464
oct7126452366057024
91202087828884460
10252240541015572
117340a68156246a
1224359aa69a5b30
13aa992477308a5
14464071615bba4
151e2654e3a3a4c
hexe56953d85e14

252240541015572 has 48 divisors (see below), whose sum is σ = 688375745467200. Its totient is φ = 79654907688480.

The previous prime is 252240541015571. The next prime is 252240541015609. The reversal of 252240541015572 is 275510145042252.

252240541015572 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 4 + 0 + 54 + 10 + 15 + 572 = 666.

252240541015572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252240541015571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61462118079 + ... + 61462122182.

It is an arithmetic number, because the mean of its divisors is an integer number (14341161363900).

Almost surely, 2252240541015572 is an apocalyptic number.

It is an amenable number.

252240541015572 is an abundant number, since it is smaller than the sum of its proper divisors (436135204451628).

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

252240541015572 is a wasteful number, since it uses less digits than its factorization.

252240541015572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122924240293 (or 122924240285 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 45.

The spelling of 252240541015572 in words is "two hundred fifty-two trillion, two hundred forty billion, five hundred forty-one million, fifteen thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 122924240261 245848480522 368772720783 491696961044 737545441566 1106318162349 1475090883132 2212636324698 2335560564959 3318954487047 4425272649396 4671121129918 6637908974094 7006681694877 9342242259836 13275817948188 14013363389754 21020045084631 28026726779508 42040090169262 63060135253893 84080180338524 126120270507786 252240541015572