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5269598464 = 281323492
BaseRepresentation
bin1001110100001011…
…11011000100000000
3111121020200100010111
410322011323010000
541243004122324
62230521441104
7244404563554
oct47205730400
914536610114
105269598464
112264607359
121030940194
1365c973a00
1437dbdd864
1520c95c794
hex13a17b100

5269598464 has 81 divisors (see below), whose sum is σ = 11422706463. Its totient is φ = 2425153536.

The previous prime is 5269598461. The next prime is 5269598479. The reversal of 5269598464 is 4648959625.

The square root of 5269598464 is 72592.

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

It can be written as a sum of positive squares in 4 ways, for example, as 113209600 + 5156388864 = 10640^2 + 71808^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5269598399 and 5269598408.

It is not an unprimeable number, because it can be changed into a prime (5269598461) by changing a digit.

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, 15098962 + ... + 15099310.

Almost surely, 25269598464 is an apocalyptic number.

5269598464 is the 72592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5269598464

5269598464 is an abundant number, since it is smaller than the sum of its proper divisors (6153107999).

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

5269598464 is an frugal number, since it uses more digits than its factorization.

5269598464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 364 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 58.

The cubic root of 5269598464 is about 1740.1733283978.

The spelling of 5269598464 in words is "five billion, two hundred sixty-nine million, five hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 349 416 676 698 832 1352 1396 1664 2704 2792 3328 4537 5408 5584 9074 10816 11168 18148 21632 22336 36296 43264 44672 58981 72592 89344 117962 121801 145184 235924 243602 290368 471848 487204 580736 943696 974408 1161472 1583413 1887392 1948816 3166826 3774784 3897632 6333652 7549568 7795264 12667304 15099136 15590528 20584369 25334608 31181056 41168738 50669216 82337476 101338432 164674952 202676864 329349904 405353728 658699808 1317399616 2634799232 5269598464