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514427479696 = 2413410612
BaseRepresentation
bin1110111110001100100…
…01000110011010010000
31211011211100001121201101
413133012101012122100
531412021413322241
61032154050114144
752110664300354
oct7370621063220
91734740047641
10514427479696
111891929a0539
128384887b954
13396831a0000
141ac813b5464
15d5ac556e31
hex77c6446690

514427479696 has 75 divisors (see below), whose sum is σ = 1080777576893. Its totient is φ = 237204289920.

The previous prime is 514427479681. The next prime is 514427479717. The reversal of 514427479696 is 696974724415.

The square root of 514427479696 is 717236.

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

It can be written as a sum of positive squares in 7 ways, for example, as 500465694096 + 13961785600 = 707436^2 + 118160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 484851006 + ... + 484852066.

Almost surely, 2514427479696 is an apocalyptic number.

514427479696 is the 717236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514427479696

514427479696 is an abundant number, since it is smaller than the sum of its proper divisors (566350097197).

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

514427479696 is an frugal number, since it uses more digits than its factorization.

514427479696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 1076 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 64.

Multiplying 514427479696 by its sum of digits (64), we get a square (32923358700544 = 57378882).

The spelling of 514427479696 in words is "five hundred fourteen billion, four hundred twenty-seven million, four hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1061 1352 2122 2197 2704 4244 4394 8488 8788 13793 16976 17576 27586 28561 35152 55172 57122 110344 114244 179309 220688 228488 358618 456976 717236 1125721 1434472 2251442 2331017 2868944 4502884 4662034 9005768 9324068 14634373 18011536 18648136 29268746 30303221 37296272 58537492 60606442 117074984 121212884 190246849 234149968 242425768 380493698 484851536 760987396 1521974792 2473209037 3043949584 4946418074 9892836148 19785672296 32151717481 39571344592 64303434962 128606869924 257213739848 514427479696