Search a number
-
+
53760914496 = 263296612
BaseRepresentation
bin110010000100011001…
…100111010001000000
312010202200122102102100
4302010121213101000
51340100243230441
640410350550400
73612150143022
oct620431472100
9163680572370
1053760914496
11208886a8853
12a504508400
1350b9ca0913
14286000a012
1515e9b3ecb6
hexc84667440

53760914496 has 63 divisors (see below), whose sum is σ = 154111906533. Its totient is φ = 17918449920.

The previous prime is 53760914489. The next prime is 53760914507. The reversal of 53760914496 is 69441906735.

The square root of 53760914496 is 231864.

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

53760914496 is a `hidden beast` number, since 5 + 3 + 7 + 60 + 91 + 4 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11128896 + 53749785600 = 3336^2 + 231840^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5559906 + ... + 5569566.

Almost surely, 253760914496 is an apocalyptic number.

53760914496 is the 231864-th square number.

It is an amenable number.

53760914496 is an abundant number, since it is smaller than the sum of its proper divisors (100350992037).

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

53760914496 is an frugal number, since it uses more digits than its factorization.

53760914496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19340 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

It can be divided in two parts, 53760 and 914496, that added together give a square (968256 = 9842).

The spelling of 53760914496 in words is "fifty-three billion, seven hundred sixty million, nine hundred fourteen 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 9661 19322 28983 38644 57966 77288 86949 115932 154576 173898 231864 309152 347796 463728 618304 695592 927456 1391184 1854912 2782368 5564736 93334921 186669842 280004763 373339684 560009526 746679368 840014289 1120019052 1493358736 1680028578 2240038104 2986717472 3360057156 4480076208 5973434944 6720114312 8960152416 13440228624 17920304832 26880457248 53760914496