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56680527645 = 32571744323893
BaseRepresentation
bin110100110010011011…
…000011011100011101
312102022011102010201200
4310302123003130131
51412040203341040
642012204230113
74044411351510
oct646233033435
9172264363650
1056680527645
1122046753385
12ab9a23b339
135463b1a971
142a59a88d77
15171b105630
hexd326c371d

56680527645 has 96 divisors (see below), whose sum is σ = 119159569152. Its totient is φ = 24330848256.

The previous prime is 56680527593. The next prime is 56680527649. The reversal of 56680527645 is 54672508665.

56680527645 is a `hidden beast` number, since 56 + 6 + 8 + 0 + 527 + 64 + 5 = 666.

It is not a de Polignac number, because 56680527645 - 27 = 56680527517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56680527591 and 56680527600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56680527649) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2360319 + ... + 2384211.

It is an arithmetic number, because the mean of its divisors is an integer number (1241245512).

Almost surely, 256680527645 is an apocalyptic number.

It is an amenable number.

56680527645 is an abundant number, since it is smaller than the sum of its proper divisors (62479041507).

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

56680527645 is a wasteful number, since it uses less digits than its factorization.

56680527645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24371 (or 24368 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 56680527645 in words is "fifty-six billion, six hundred eighty million, five hundred twenty-seven thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 443 595 765 1071 1329 1785 2215 3101 3987 5355 6645 7531 9303 15505 19935 22593 23893 27909 37655 46515 52717 67779 71679 112965 119465 139545 158151 167251 215037 263585 338895 358395 406181 474453 501753 790755 836255 1075185 1218543 1505259 2030905 2372265 2508765 2843267 3655629 6092715 7526295 8529801 10584599 14216335 18278145 25589403 31753797 42649005 52922995 74092193 95261391 127947015 158768985 179938183 222276579 370460965 476306955 539814549 666829737 899690915 1111382895 1259567281 1619443647 2699072745 3334148685 3778701843 6297836405 8097218235 11336105529 18893509215 56680527645