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56021383088055 = 325711103156968809
BaseRepresentation
bin11001011110011011111101…
…01000111000011110110111
321100100120222111202020102100
430233031332220320132313
524320323243032304210
6315051511302113143
714541261045244020
oct1457157650703667
9240316874666370
1056021383088055
1116939598308040
12634939ba1b7b3
132534a41b674a8
14db964126bc47
156723a0eb75c0
hex32f37ea387b7

56021383088055 has 96 divisors (see below), whose sum is σ = 122239774725120. Its totient is φ = 23055578519040.

The previous prime is 56021383088051. The next prime is 56021383088063. The reversal of 56021383088055 is 55088038312065.

It is a happy number.

56021383088055 is a `hidden beast` number, since 560 + 21 + 3 + 8 + 3 + 0 + 8 + 8 + 0 + 55 = 666.

It is not a de Polignac number, because 56021383088055 - 22 = 56021383088051 is a prime.

It is a super-2 number, since 2×560213830880552 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56021383087992 and 56021383088010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56021383088051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78127510 + ... + 78841299.

It is an arithmetic number, because the mean of its divisors is an integer number (1273330986720).

Almost surely, 256021383088055 is an apocalyptic number.

56021383088055 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

56021383088055 is an abundant number, since it is smaller than the sum of its proper divisors (66218391637065).

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

56021383088055 is a wasteful number, since it uses less digits than its factorization.

56021383088055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156968941 (or 156968938 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 56021383088055 in words is "fifty-six trillion, twenty-one billion, three hundred eighty-three million, eighty-eight thousand, fifty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 103 105 165 231 309 315 385 495 515 693 721 927 1133 1155 1545 2163 3399 3465 3605 4635 5665 6489 7931 10197 10815 16995 23793 32445 39655 50985 71379 118965 356895 156968809 470906427 784844045 1098781663 1412719281 1726656899 2354532135 3296344989 5179970697 5493908315 7063596405 8633284495 9889034967 12086598293 15539912091 16167787327 16481724945 25899853485 36259794879 48503361981 49445174835 60432991465 77699560455 80838936635 108779384637 113174511289 145510085943 177845660597 181298974395 242516809905 339523533867 533536981791 543896923185 565872556445 727550429715 889228302985 1018570601601 1244919624179 1600610945373 1697617669335 2667684908955 3734758872537 5092853008005 6224598120895 8003054726865 11204276617611 18673794362685 56021383088055