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58300034116 = 222322921812
BaseRepresentation
bin110110010010111100…
…111110110001000100
312120111000210120221211
4312102330332301010
51423344302042431
642441020021204
74132505053642
oct662274766104
9176430716854
1058300034116
11227a7938585
12b370691804
1356614c330c
142b70bba192
1517b33a92b1
hexd92f3ec44

58300034116 has 81 divisors (see below), whose sum is σ = 111071969463. Its totient is φ = 26772419520.

The previous prime is 58300034099. The next prime is 58300034137. The reversal of 58300034116 is 61143000385.

The square root of 58300034116 is 241454.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21681384516 + 36618649600 = 147246^2 + 191360^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 322099546 + ... + 322099726.

Almost surely, 258300034116 is an apocalyptic number.

58300034116 is the 241454-th square number.

It is an amenable number.

58300034116 is a deficient number, since it is larger than the sum of its proper divisors (52771935347).

58300034116 is a wasteful number, since it uses less digits than its factorization.

58300034116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 58300034116 in words is "fifty-eight billion, three hundred million, thirty-four thousand, one hundred sixteen".

Divisors: 1 2 4 23 29 46 58 92 116 181 362 529 667 724 841 1058 1334 1682 2116 2668 3364 4163 5249 8326 10498 15341 16652 19343 20996 30682 32761 38686 61364 65522 77372 95749 120727 131044 152221 191498 241454 304442 382996 444889 482908 608884 753503 889778 950069 1507006 1779556 1900138 2776721 3014012 3501083 3800276 5553442 7002166 11106884 14004332 17330569 21851587 27552001 34661138 43703174 55104002 69322276 80524909 87406348 110208004 161049818 322099636 502586501 633696023 1005173002 1267392046 2010346004 2534784092 14575008529 29150017058 58300034116