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255311971416 = 23325037049701
BaseRepresentation
bin1110110111000111000…
…1111000010001011000
3220102000010111222000100
43231301301320101120
513140334331041131
6313142205335400
724305603643615
oct3556161702130
9812003458010
10255311971416
1199305a51a77
1241593567560
131b0ca74a548
14c5000c150c
1569943467e6
hex3b71c78458

255311971416 has 48 divisors (see below), whose sum is σ = 692844712560. Its totient is φ = 84934785600.

The previous prime is 255311971399. The next prime is 255311971417. The reversal of 255311971416 is 614179113552.

255311971416 is a `hidden beast` number, since 2 + 5 + 53 + 119 + 71 + 416 = 666.

255311971416 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 (255311971417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3488635 + ... + 3561066.

It is an arithmetic number, because the mean of its divisors is an integer number (14434264845).

Almost surely, 2255311971416 is an apocalyptic number.

It is an amenable number.

255311971416 is an abundant number, since it is smaller than the sum of its proper divisors (437532741144).

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

255311971416 is a wasteful number, since it uses less digits than its factorization.

255311971416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050216 (or 7050209 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The spelling of 255311971416 in words is "two hundred fifty-five billion, three hundred eleven million, nine hundred seventy-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 503 1006 1509 2012 3018 4024 4527 6036 9054 12072 18108 36216 7049701 14099402 21149103 28198804 42298206 56397608 63447309 84596412 126894618 169192824 253789236 507578472 3545999603 7091999206 10637998809 14183998412 21275997618 28367996824 31913996427 42551995236 63827992854 85103990472 127655985708 255311971416