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769499138521 = 19213723372
BaseRepresentation
bin10110011001010011011…
…10010000100111011001
32201120012201101102211101
423030221232100213121
5100101413234413041
61345300353031401
7106410622520431
oct13145156204731
92646181342741
10769499138521
11277385226063
12105173855561
1357742bba349
142935b5bd2c1
151503a72eb31
hexb329b909d9

769499138521 has 27 divisors (see below), whose sum is σ = 820536706269. Its totient is φ = 721530609408.

The previous prime is 769499138501. The next prime is 769499138533. The reversal of 769499138521 is 125831994967.

The square root of 769499138521 is 877211.

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

769499138521 is digitally balanced in base 2, 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 17532672921 + 751966465600 = 132411^2 + 867160^2 .

It is not a de Polignac number, because 769499138521 - 237 = 632060185049 is a prime.

It is a super-2 number, since 2×7694991385212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (769499138501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2283380065 + ... + 2283380401.

Almost surely, 2769499138521 is an apocalyptic number.

769499138521 is the 877211-st square number.

769499138521 is the 438606-th centered octagonal number.

It is an amenable number.

769499138521 is a deficient number, since it is larger than the sum of its proper divisors (51037567748).

769499138521 is an frugal number, since it uses more digits than its factorization.

769499138521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 64.

Multiplying 769499138521 by its sum of digits (64), we get a square (49247944865344 = 70176882).

The spelling of 769499138521 in words is "seven hundred sixty-nine billion, four hundred ninety-nine million, one hundred thirty-eight thousand, five hundred twenty-one".

Divisors: 1 19 137 337 361 2603 6403 18769 46169 49457 113569 121657 356611 877211 2157811 6325153 6775609 15558953 16667009 40998409 120177907 295620107 2131576561 2283380233 5616782033 40499954659 769499138521