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50505605064 = 23321575997459
BaseRepresentation
bin101111000010010111…
…100101111111001000
311211100211012120101100
4233002113211333020
51311413413330224
635111342221400
73435401362665
oct570227457710
9154324176340
1050505605064
111a468108682
129956284860
1349bb738115
142631944a6c
1514a8e68ac9
hexbc25e5fc8

50505605064 has 96 divisors (see below), whose sum is σ = 137905560000. Its totient is φ = 16697805696.

The previous prime is 50505605063. The next prime is 50505605113. The reversal of 50505605064 is 46050650505.

It is a happy number.

50505605064 is a `hidden beast` number, since 50 + 50 + 56 + 0 + 506 + 4 = 666.

It is a super-2 number, since 2×505056050642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (50505605063) 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, 6767367 + ... + 6774825.

It is an arithmetic number, because the mean of its divisors is an integer number (1436516250).

Almost surely, 250505605064 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 50505605064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68952780000).

50505605064 is an abundant number, since it is smaller than the sum of its proper divisors (87399954936).

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

50505605064 is a wasteful number, since it uses less digits than its factorization.

50505605064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8227 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 50505605064 in words is "fifty billion, five hundred five million, six hundred five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 599 628 942 1198 1256 1413 1797 1884 2396 2826 3594 3768 4792 5391 5652 7188 7459 10782 11304 14376 14918 21564 22377 29836 43128 44754 59672 67131 89508 94043 134262 179016 188086 268524 282129 376172 537048 564258 752344 846387 1128516 1171063 1692774 2257032 2342126 3385548 3513189 4467941 4684252 6771096 7026378 8935882 9368504 10539567 13403823 14052756 17871764 21079134 26807646 28105512 35743528 40211469 42158268 53615292 80422938 84316536 107230584 160845876 321691752 701466737 1402933474 2104400211 2805866948 4208800422 5611733896 6313200633 8417600844 12626401266 16835201688 25252802532 50505605064