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53940991504 = 2431218732
BaseRepresentation
bin110010001111001000…
…100011011000010000
312011020020111021122011
4302033020203120100
51340432343212004
640440302352304
73616464601621
oct621710433020
9164206437564
1053940991504
1120970313324
12a55488b694
1351183a086a
142879cc3a48
15160a861004
hexc8f223610

53940991504 has 45 divisors (see below), whose sum is σ = 108048422349. Its totient is φ = 26086544640.

The previous prime is 53940991453. The next prime is 53940991513. The reversal of 53940991504 is 40519904935.

The square root of 53940991504 is 232252.

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

It can be written as a sum of positive squares in only one way, i.e., 1430352400 + 52510639104 = 37820^2 + 229152^2 .

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, 28798312 + ... + 28800184.

Almost surely, 253940991504 is an apocalyptic number.

53940991504 is the 232252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53940991504

53940991504 is an abundant number, since it is smaller than the sum of its proper divisors (54107430845).

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

53940991504 is an frugal number, since it uses more digits than its factorization.

53940991504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 49.

Multiplying 53940991504 by its sum of digits (49), we get a square (2643108583696 = 16257642).

The spelling of 53940991504 in words is "fifty-three billion, nine hundred forty million, nine hundred ninety-one thousand, five hundred four".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1873 1922 3746 3844 7492 7688 14984 15376 29968 58063 116126 232252 464504 929008 1799953 3508129 3599906 7016258 7199812 14032516 14399624 28065032 28799248 56130064 108751999 217503998 435007996 870015992 1740031984 3371311969 6742623938 13485247876 26970495752 53940991504