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56405980314 = 23317193233917
BaseRepresentation
bin110100100010000011…
…101111010010011010
312101121000210200121000
4310202003233102122
51411004412332224
641525035525430
74034535631125
oct644203572232
9171530720530
1056405980314
1121a15783962
12ab222b9876
13541bc92118
142a3141d3bc
151701e730c9
hexd220ef49a

56405980314 has 64 divisors (see below), whose sum is σ = 139705257600. Its totient is φ = 16764620544.

The previous prime is 56405980303. The next prime is 56405980357. The reversal of 56405980314 is 41308950465.

56405980314 is a `hidden beast` number, since 5 + 6 + 40 + 598 + 0 + 3 + 14 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56405980314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1599517 + ... + 1634400.

It is an arithmetic number, because the mean of its divisors is an integer number (2182894650).

Almost surely, 256405980314 is an apocalyptic number.

56405980314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

56405980314 is an abundant number, since it is smaller than the sum of its proper divisors (83299277286).

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

56405980314 is a wasteful number, since it uses less digits than its factorization.

56405980314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233964 (or 3233958 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56405980314 in words is "fifty-six billion, four hundred five million, nine hundred eighty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 513 646 918 969 1026 1938 2907 5814 8721 17442 3233917 6467834 9701751 19403502 29105253 54976589 58210506 61444423 87315759 109953178 122888846 164929767 174631518 184333269 329859534 368666538 494789301 552999807 989578602 1044555191 1105999614 1484367903 1658999421 2089110382 2968735806 3133665573 3317998842 6267331146 9400996719 18801993438 28202990157 56405980314