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59956490104 = 237291131572081
BaseRepresentation
bin110111110101101011…
…110110111101111000
312201202110201021101121
4313311223312331320
51440242330140404
643313231355024
74221530520460
oct676553667570
9181673637347
1059956490104
112347796a475
12b753382a74
135866734ba4
142c8aba8ba0
15185da0ae54
hexdf5af6f78

59956490104 has 128 divisors (see below), whose sum is σ = 135003542400. Its totient is φ = 24421662720.

The previous prime is 59956490063. The next prime is 59956490107. The reversal of 59956490104 is 40109465995.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59956490107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28810344 + ... + 28812424.

It is an arithmetic number, because the mean of its divisors is an integer number (1054715175).

Almost surely, 259956490104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59956490104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67501771200).

59956490104 is an abundant number, since it is smaller than the sum of its proper divisors (75047052296).

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

59956490104 is a wasteful number, since it uses less digits than its factorization.

59956490104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 52.

The spelling of 59956490104 in words is "fifty-nine billion, nine hundred fifty-six million, four hundred ninety thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 29 56 58 113 116 157 203 226 232 314 406 452 628 791 812 904 1099 1256 1582 1624 2081 2198 3164 3277 4162 4396 4553 6328 6554 8324 8792 9106 13108 14567 16648 17741 18212 22939 26216 29134 31871 35482 36424 45878 58268 60349 63742 70964 91756 116536 120698 124187 127484 141928 183512 235153 241396 248374 254968 326717 422443 470306 482792 496748 514489 653434 844886 940612 993496 1028978 1306868 1646071 1689772 1881224 2057956 2287019 2613736 3292142 3379544 3601423 4115912 4574038 6584284 6819437 7202846 9148076 9474793 13168568 13638874 14405692 18296152 18949586 27277748 28811384 36919021 37899172 47736059 54555496 66323551 73838042 75798344 95472118 132647102 147676084 190944236 258433147 265294204 295352168 381888472 516866294 530588408 1033732588 1070651609 2067465176 2141303218 4282606436 7494561263 8565212872 14989122526 29978245052 59956490104