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59316411072 = 2633175991627
BaseRepresentation
bin110111001111100010…
…001001101011000000
312200002212021220000210
4313033202021223000
51432440000123242
643125524314120
74166626114032
oct671742115300
9180085256023
1059316411072
1123179627636
12b5b4b42940
135793c457b9
142c29b8bc52
151822722d9c
hexdcf889ac0

59316411072 has 112 divisors (see below), whose sum is σ = 157796179200. Its totient is φ = 19664765952.

The previous prime is 59316411071. The next prime is 59316411073. The reversal of 59316411072 is 27011461395.

It is an interprime number because it is at equal distance from previous prime (59316411071) and next prime (59316411073).

It is a self number, because there is not a number n which added to its sum of digits gives 59316411072.

It is not an unprimeable number, because it can be changed into a prime (59316411071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36456723 + ... + 36458349.

Almost surely, 259316411072 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 59316411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78898089600).

59316411072 is an abundant number, since it is smaller than the sum of its proper divisors (98479768128).

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

59316411072 is a wasteful number, since it uses less digits than its factorization.

59316411072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 59316411072 in words is "fifty-nine billion, three hundred sixteen million, four hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 317 599 634 951 1198 1268 1627 1797 1902 2396 2536 3254 3594 3804 4792 4881 5072 6508 7188 7608 9584 9762 10144 13016 14376 15216 19168 19524 20288 26032 28752 30432 38336 39048 52064 57504 60864 78096 104128 115008 156192 189883 312384 379766 515759 569649 759532 974573 1031518 1139298 1519064 1547277 1949146 2063036 2278596 2923719 3038128 3094554 3898292 4126072 4557192 5847438 6076256 6189108 7796584 8252144 9114384 11694876 12152512 12378216 15593168 16504288 18228768 23389752 24756432 31186336 33008576 36457536 46779504 49512864 62372672 93559008 99025728 187118016 308939641 617879282 926818923 1235758564 1853637846 2471517128 3707275692 4943034256 7414551384 9886068512 14829102768 19772137024 29658205536 59316411072