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85184594496 = 2632121612
BaseRepresentation
bin100111101010101100…
…1011100001001000000
322010212122211202121100
41033111121130021000
52343424224010441
6103044441254400
76103645051311
oct1172531341100
9263778752540
1085184594496
1133143534721
1214614194400
1380572b5901
1441a156c608
152338739cb6
hex13d565c240

85184594496 has 63 divisors (see below), whose sum is σ = 244186339033. Its totient is φ = 28392529920.

The previous prime is 85184594441. The next prime is 85184594513. The reversal of 85184594496 is 69449548158.

The square root of 85184594496 is 291864.

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

85184594496 is a `hidden beast` number, since 8 + 5 + 18 + 45 + 94 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19975864896 + 65208729600 = 141336^2 + 255360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6998656 + ... + 7010816.

Almost surely, 285184594496 is an apocalyptic number.

85184594496 is the 291864-th square number.

It is an amenable number.

85184594496 is an abundant number, since it is smaller than the sum of its proper divisors (159001744537).

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

85184594496 is an frugal number, since it uses more digits than its factorization.

85184594496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24340 (or 12166 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 85184594496 in words is "eighty-five billion, one hundred eighty-four million, five hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 12161 24322 36483 48644 72966 97288 109449 145932 194576 218898 291864 389152 437796 583728 778304 875592 1167456 1751184 2334912 3502368 7004736 147889921 295779842 443669763 591559684 887339526 1183119368 1331009289 1774679052 2366238736 2662018578 3549358104 4732477472 5324037156 7098716208 9464954944 10648074312 14197432416 21296148624 28394864832 42592297248 85184594496