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256505740065 = 33517795114057
BaseRepresentation
bin1110111011100011101…
…1101111101100100001
3220112002022210200202000
43232320323233230201
513200310432140230
6313500452114213
724350310546651
oct3567073575441
9815068720660
10256505740065
1199868892033
1241867305969
131b25ab6c623
14c5b486c361
156a14050b60
hex3bb8eefb21

256505740065 has 64 divisors (see below), whose sum is σ = 482929413120. Its totient is φ = 128730470400.

The previous prime is 256505740009. The next prime is 256505740097. The reversal of 256505740065 is 560047505652.

256505740065 is a `hidden beast` number, since 25 + 6 + 50 + 574 + 0 + 0 + 6 + 5 = 666.

It is not a de Polignac number, because 256505740065 - 217 = 256505608993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 256505740065.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18240517 + ... + 18254573.

It is an arithmetic number, because the mean of its divisors is an integer number (7545772080).

Almost surely, 2256505740065 is an apocalyptic number.

It is an amenable number.

256505740065 is a deficient number, since it is larger than the sum of its proper divisors (226423673055).

256505740065 is a wasteful number, since it uses less digits than its factorization.

256505740065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22039 (or 22033 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 256505740065 in words is "two hundred fifty-six billion, five hundred five million, seven hundred forty thousand, sixty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2295 7951 14057 23853 39755 42171 70285 71559 119265 126513 135167 210855 214677 238969 357795 379539 405501 632565 675835 716907 1073385 1194845 1216503 1897695 2027505 2150721 3584535 3649509 6082515 6452163 10753605 18247545 32260815 111767207 335301621 558836035 1005904863 1676508105 1900042519 3017714589 5029524315 5700127557 9500212595 15088572945 17100382671 28500637785 51301148013 85501913355 256505740065