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256062316416 = 2732328992563
BaseRepresentation
bin1110111001111010000…
…0001101111110000000
3220110221102102102211220
43232132200031332000
513143403423111131
6313344452035040
724333314530434
oct3563640157600
9813842372756
10256062316416
1199660558305
1241762902a80
131b1ba03607a
14c571a029c4
1569da160e96
hex3b9e80df80

256062316416 has 64 divisors (see below), whose sum is σ = 709737966720. Its totient is φ = 81643054592.

The previous prime is 256062316409. The next prime is 256062316441. The reversal of 256062316416 is 614613260652.

256062316416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14487450 + ... + 14505113.

It is an arithmetic number, because the mean of its divisors is an integer number (11089655730).

Almost surely, 2256062316416 is an apocalyptic number.

It is an amenable number.

256062316416 is an abundant number, since it is smaller than the sum of its proper divisors (453675650304).

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

256062316416 is a wasteful number, since it uses less digits than its factorization.

256062316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28992603 (or 28992591 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 256062316416 in words is "two hundred fifty-six billion, sixty-two million, three hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 28992563 57985126 86977689 115970252 173955378 231940504 347910756 463881008 666828949 695821512 927762016 1333657898 1391643024 1855524032 2000486847 2667315796 2783286048 3711048064 4000973694 5334631592 5566572096 8001947388 10669263184 11133144192 16003894776 21338526368 32007789552 42677052736 64015579104 85354105472 128031158208 256062316416