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56516065561656 = 23321136946419071
BaseRepresentation
bin11001101100110101011000…
…00000110000110000111000
321102002212211210002121202200
430312122230000300300320
524401424400240433111
6320111042212230200
714622102535012101
oct1466325400606070
9242085753077680
1056516065561656
111700a368703218
12640923800b360
13256c59943032c
14dd556c1773a8
156801a4d72256
hex3366ac030c38

56516065561656 has 48 divisors (see below), whose sum is σ = 154418895970560. Its totient is φ = 18671974460160.

The previous prime is 56516065561649. The next prime is 56516065561673. The reversal of 56516065561656 is 65616556061565.

56516065561656 is a `hidden beast` number, since 5 + 6 + 5 + 1 + 6 + 0 + 6 + 5 + 5 + 616 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56516065561593 and 56516065561602.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3473201400 + ... + 3473217671.

It is an arithmetic number, because the mean of its divisors is an integer number (3217060332720).

Almost surely, 256516065561656 is an apocalyptic number.

It is an amenable number.

56516065561656 is an abundant number, since it is smaller than the sum of its proper divisors (97902830408904).

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

56516065561656 is a wasteful number, since it uses less digits than its factorization.

56516065561656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946419196 (or 6946419189 counting only the distinct ones).

The product of its (nonzero) digits is 145800000, while the sum is 63.

The spelling of 56516065561656 in words is "fifty-six trillion, five hundred sixteen billion, sixty-five million, five hundred sixty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136 6946419071 13892838142 20839257213 27785676284 41678514426 55571352568 62517771639 83357028852 125035543278 166714057704 250071086556 500142173112 784945355023 1569890710046 2354836065069 3139781420092 4709672130138 6279562840184 7064508195207 9419344260276 14129016390414 18838688520552 28258032780828 56516065561656