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56254045265 = 51122314272833
BaseRepresentation
bin110100011001000000…
…001001110001010001
312101012102220120212222
4310121000021301101
51410202013422030
641502011230425
74031012331605
oct643100116121
9171172816788
1056254045265
1121947a3a900
12aa9b448415
1353c6666522
142a1918d505
1516e39603e5
hexd19009c51

56254045265 has 48 divisors (see below), whose sum is σ = 77507224704. Its totient is φ = 39092021760.

The previous prime is 56254045249. The next prime is 56254045271.

56254045265 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56254045265 - 24 = 56254045249 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19855289 + ... + 19858121.

It is an arithmetic number, because the mean of its divisors is an integer number (1614733848).

Almost surely, 256254045265 is an apocalyptic number.

56254045265 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56254045265 is a deficient number, since it is larger than the sum of its proper divisors (21253179439).

56254045265 is a wasteful number, since it uses less digits than its factorization.

56254045265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 56254045265 in words is "fifty-six billion, two hundred fifty-four million, forty-five thousand, two hundred sixty-five".

Divisors: 1 5 11 23 55 115 121 253 605 1265 1427 2783 2833 7135 13915 14165 15697 31163 32821 65159 78485 155815 164105 172667 325795 342793 361031 716749 863335 1713965 1805155 3583745 3971341 4042691 7884239 19856705 20213455 39421195 44469601 92981893 222348005 464909465 489165611 1022800823 2445828055 5114004115 11250809053 56254045265