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130641056565756 = 223112264793397907
BaseRepresentation
bin11101101101000100111101…
…110001010000100111111100
3122010120011101212000222111120
4131231010331301100213330
5114110410340440101011
61141503401200550540
736342335111463102
oct3555047561204774
9563504355028446
10130641056565756
1138698619698300
121279b141622450
1357b8525148b89
1424390bd083c72
151018418a54a06
hex76d13dc509fc

130641056565756 has 72 divisors (see below), whose sum is σ = 335072872700160. Its totient is φ = 39586692229920.

The previous prime is 130641056565731. The next prime is 130641056565757. The reversal of 130641056565756 is 657565650146031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 130641056565756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130641056565757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36748555 + ... + 40146461.

Almost surely, 2130641056565756 is an apocalyptic number.

It is an amenable number.

130641056565756 is an abundant number, since it is smaller than the sum of its proper divisors (204431816134404).

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

130641056565756 is a wasteful number, since it uses less digits than its factorization.

130641056565756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424415 (or 3424402 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 60.

The spelling of 130641056565756 in words is "one hundred thirty trillion, six hundred forty-one billion, fifty-six million, five hundred sixty-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 26479 52958 79437 105916 158874 291269 317748 582538 873807 1165076 1747614 3203959 3397907 3495228 6407918 6795814 9611877 10193721 12815836 13591628 19223754 20387442 37376977 38447508 40774884 74753954 112130931 149507908 224261862 411146747 448523724 822293494 1233440241 1644586988 2466880482 4933760964 89973179453 179946358906 269919538359 359892717812 539839076718 989704973983 1079678153436 1979409947966 2969114921949 3958819895932 5938229843898 10886754713813 11876459687796 21773509427626 32660264141439 43547018855252 65320528282878 130641056565756