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58430085038496 = 253374131912269
BaseRepresentation
bin11010100100100010100000…
…11101101000000110100000
321122212212021002102100021000
431102101100131220012200
530124304303232212441
6324134224400232000
715210301656100023
oct1522212035500640
9248785232370230
1058430085038496
111768807280a3a6
12667818530b600
13267ac198230a2
1410600618ad1ba
156b4d797e42b6
hex3524507681a0

58430085038496 has 96 divisors (see below), whose sum is σ = 170423567092800. Its totient is φ = 19476410929920.

The previous prime is 58430085038473. The next prime is 58430085038519. The reversal of 58430085038496 is 69483058003485.

It is a happy number.

58430085038496 is a `hidden beast` number, since 5 + 8 + 4 + 30 + 0 + 8 + 503 + 8 + 4 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (58430085038473) and next prime (58430085038519).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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, 63593050 + ... + 64505318.

It is an arithmetic number, because the mean of its divisors is an integer number (1775245490550).

Almost surely, 258430085038496 is an apocalyptic number.

It is an amenable number.

58430085038496 is an abundant number, since it is smaller than the sum of its proper divisors (111993482054304).

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

58430085038496 is a wasteful number, since it uses less digits than its factorization.

58430085038496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986419 (or 986405 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 58430085038496 in words is "fifty-eight trillion, four hundred thirty billion, eighty-five million, thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 74131 148262 222393 296524 444786 593048 667179 889572 912269 1186096 1334358 1779144 1824538 2001537 2372192 2668716 2736807 3558288 3649076 4003074 5337432 5473614 7116576 7298152 8006148 8210421 10674864 10947228 14596304 16012296 16420842 21349728 21894456 24631263 29192608 32024592 32841684 43788912 49262526 64049184 65683368 87577824 98525052 131366736 197050104 262733472 394100208 788200416 67627413239 135254826478 202882239717 270509652956 405764479434 541019305912 608646719151 811528958868 1082038611824 1217293438302 1623057917736 1825940157453 2164077223648 2434586876604 3246115835472 3651880314906 4869173753208 6492231670944 7303760629812 9738347506416 14607521259624 19476695012832 29215042519248 58430085038496