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58949986956 = 2237898639137
BaseRepresentation
bin110110111001101100…
…010110101010001100
312122011022210121122020
4312321230112222030
51431212144040311
643025314450140
74154556423120
oct667154265214
9178138717566
1058949986956
1123000804793
12b512293950
13573605b9b3
142bd3247580
151800492c06
hexdb9b16a8c

58949986956 has 96 divisors (see below), whose sum is σ = 159167877120. Its totient is φ = 16632489984.

The previous prime is 58949986943. The next prime is 58949986957. The reversal of 58949986956 is 65968994985.

It is a super-2 number, since 2×589499869562 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58949986957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6447220 + ... + 6456356.

It is an arithmetic number, because the mean of its divisors is an integer number (1657998720).

Almost surely, 258949986956 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 58949986956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79583938560).

58949986956 is an abundant number, since it is smaller than the sum of its proper divisors (100217890164).

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

58949986956 is a wasteful number, since it uses less digits than its factorization.

58949986956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10103 (or 10101 counting only the distinct ones).

The product of its digits is 1511654400, while the sum is 78.

The spelling of 58949986956 in words is "fifty-eight billion, nine hundred forty-nine million, nine hundred eighty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 863 1068 1246 1726 1869 2492 2589 3452 3738 5178 6041 7476 9137 10356 12082 18123 18274 24164 27411 36246 36548 54822 63959 72492 76807 109644 127918 153614 191877 230421 255836 307228 383754 460842 537649 767508 813193 921684 1075298 1612947 1626386 2150596 2439579 3225894 3252772 4879158 5692351 6451788 7885231 9758316 11384702 15770462 17077053 22769404 23655693 31540924 34154106 47311386 55196617 68308212 94622772 110393234 165589851 220786468 331179702 662359404 701785559 1403571118 2105356677 2807142236 4210713354 4912498913 8421426708 9824997826 14737496739 19649995652 29474993478 58949986956