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8058317195412 = 22321123967466331
BaseRepresentation
bin111010101000011100100…
…1000100100100010010100
31001112100220222110212200200
41311100321020210202110
52024011413200223122
625045534555540500
71461123420000141
oct165207110444224
931470828425620
108058317195412
112627570a82300
12aa190a15a730
13465b85815793
141dc04b8453c8
15de936aae5ac
hex75439224894

8058317195412 has 108 divisors (see below), whose sum is σ = 22395456265728. Its totient is φ = 2441293509600.

The previous prime is 8058317195381. The next prime is 8058317195429. The reversal of 8058317195412 is 2145917138508.

8058317195412 is a `hidden beast` number, since 8 + 0 + 5 + 8 + 31 + 7 + 195 + 412 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 17047087 + ... + 17513417.

Almost surely, 28058317195412 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 8058317195412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11197728132864).

8058317195412 is an abundant number, since it is smaller than the sum of its proper divisors (14337139070316).

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

8058317195412 is a wasteful number, since it uses less digits than its factorization.

8058317195412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470330 (or 470314 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 8058317195412 in words is "eight trillion, fifty-eight billion, three hundred seventeen million, one hundred ninety-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 3967 4356 7934 11901 15868 23802 35703 43637 47604 71406 87274 130911 142812 174548 261822 392733 466331 480007 523644 785466 932662 960014 1398993 1440021 1570932 1865324 1920028 2797986 2880042 4196979 4320063 5129641 5595972 5760084 8393958 8640126 10259282 15388923 16787916 17280252 20518564 30777846 46166769 56426051 61555692 92333538 112852102 169278153 184667076 225704204 338556306 507834459 677112612 1015668918 1849935077 2031337836 3699870154 5549805231 7399740308 11099610462 16649415693 20349285847 22199220924 33298831386 40698571694 61047857541 66597662772 81397143388 122095715082 183143572623 223842144317 244191430164 366287145246 447684288634 671526432951 732574290492 895368577268 1343052865902 2014579298853 2686105731804 4029158597706 8058317195412