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256616311281 = 31121076739817
BaseRepresentation
bin1110111011111110000…
…1100010100111110001
3220112101000212021221020
43232333201202213301
513201022233430111
6313515442050053
724353122441011
oct3567741424761
9815330767836
10256616311281
1199915243900
1241898349929
131b277a44995
14c5c5411c41
156a1dae2906
hex3bbf8629f1

256616311281 has 48 divisors (see below), whose sum is σ = 380205427392. Its totient is φ = 153826928640.

The previous prime is 256616311241. The next prime is 256616311319. The reversal of 256616311281 is 182113616652.

It is not a de Polignac number, because 256616311281 - 210 = 256616310257 is a prime.

It is a super-2 number, since 2×2566163112812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256616311241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26135085 + ... + 26144901.

It is an arithmetic number, because the mean of its divisors is an integer number (7920946404).

Almost surely, 2256616311281 is an apocalyptic number.

It is an amenable number.

256616311281 is a deficient number, since it is larger than the sum of its proper divisors (123589116111).

256616311281 is a wasteful number, since it uses less digits than its factorization.

256616311281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10622 (or 10611 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The spelling of 256616311281 in words is "two hundred fifty-six billion, six hundred sixteen million, three hundred eleven thousand, two hundred eighty-one".

Divisors: 1 3 11 33 107 121 321 363 673 1177 2019 3531 7403 9817 12947 22209 29451 38841 72011 81433 107987 216033 244299 323961 792121 1050419 1187857 2376363 3151257 3563571 6606841 8713331 11554609 19820523 26139993 34663827 72675251 127100699 218025753 381302097 706931987 799427761 2120795961 2398283283 7776251857 23328755571 85538770427 256616311281