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58982975964 = 2232111931252881
BaseRepresentation
bin110110111011101010…
…001100100111011100
312122020121212122001100
4312323222030213130
51431244120212324
643032453513100
74155440011023
oct667352144734
9178217778040
1058982975964
1123018396930
12b521342790
13573cb3c313
142bd77938ba
15180330c4c9
hexdbba8c9dc

58982975964 has 144 divisors (see below), whose sum is σ = 176734172160. Its totient is φ = 16386624000.

The previous prime is 58982975959. The next prime is 58982975977. The reversal of 58982975964 is 46957928985.

58982975964 is a `hidden beast` number, since 5 + 8 + 9 + 8 + 29 + 7 + 596 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 58982975892 and 58982975901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106804 + ... + 359684.

It is an arithmetic number, because the mean of its divisors is an integer number (1227320640).

Almost surely, 258982975964 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 58982975964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88367086080).

58982975964 is an abundant number, since it is smaller than the sum of its proper divisors (117751196196).

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

58982975964 is a wasteful number, since it uses less digits than its factorization.

58982975964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252952 (or 252947 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 58982975964 in words is "fifty-eight billion, nine hundred eighty-two million, nine hundred seventy-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 31 33 36 38 44 57 62 66 76 93 99 114 124 132 171 186 198 209 228 279 341 342 372 396 418 558 589 627 682 684 836 1023 1116 1178 1254 1364 1767 1881 2046 2356 2508 3069 3534 3762 4092 5301 6138 6479 7068 7524 10602 12276 12958 19437 21204 25916 38874 58311 77748 116622 233244 252881 505762 758643 1011524 1517286 2275929 2781691 3034572 4551858 4804739 5563382 7839311 8345073 9103716 9609478 11126764 14414217 15678622 16690146 19218956 23517933 25035219 28828434 31357244 33380292 43242651 47035866 50070438 52852129 57656868 70553799 86232421 86485302 94071732 100140876 105704258 141107598 148946909 158556387 172464842 172970604 211408516 258697263 282215196 297893818 317112774 344929684 446840727 475669161 517394526 595787636 634225548 776091789 893681454 951338322 1034789052 1340522181 1552183578 1638415999 1787362908 1902676644 2681044362 3104367156 3276831998 4915247997 5362088724 6553663996 9830495994 14745743991 19660991988 29491487982 58982975964