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83995721946724 = 2272617210612
BaseRepresentation
bin10011000110010011000111…
…001010110101011001100100
3102000101220122021122002201111
4103012103013022311121210
542002141214304243344
6454351034005034404
723456330202225100
oct2306230712653144
9360356567562644
1083995721946724
1124844427302a95
129506b253b5a04
1337b39bb553983
1416a55b3a80900
159a9dc5047834
hex4c64c72b5664

83995721946724 has 81 divisors (see below), whose sum is σ = 171430447907019. Its totient is φ = 35905949143680.

The previous prime is 83995721946709. The next prime is 83995721946761. The reversal of 83995721946724 is 42764912759938.

The square root of 83995721946724 is 9164918.

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

83995721946724 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16094298532900 + 67901423413824 = 4011770^2 + 8240232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79166561154 + ... + 79166562214.

Almost surely, 283995721946724 is an apocalyptic number.

83995721946724 is the 9164918-th square number.

It is an amenable number.

83995721946724 is an abundant number, since it is smaller than the sum of its proper divisors (87434725960295).

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

83995721946724 is an frugal number, since it uses more digits than its factorization.

83995721946724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 1687 counting only the distinct ones).

The product of its digits is 1646023680, while the sum is 76.

The spelling of 83995721946724 in words is "eighty-three trillion, nine hundred ninety-five billion, seven hundred twenty-one million, nine hundred forty-six thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 617 1061 1234 2122 2468 4244 4319 7427 8638 14854 17276 29708 30233 51989 60466 103978 120932 207956 380689 654637 761378 1125721 1309274 1522756 2251442 2618548 2664823 4502884 4582459 5329646 7880047 9164918 10659292 15760094 18329836 18653761 31520188 32077213 37307522 55160329 64154426 74615044 110320658 128308852 220641316 403911029 694569857 807822058 1389139714 1615644116 2778279428 2827377203 4861988999 5654754406 9723977998 11309508812 19447955996 19791640421 34033922993 39583280842 68067845986 79166561684 136135691972 428549601769 857099203538 1714198407076 2999847212383 5999694424766 11999388849532 20998930486681 41997860973362 83995721946724