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690107348529 = 3424123832
BaseRepresentation
bin10100000101011011001…
…10100111011000110001
32102222021202201122010000
422002231212213120301
542301314440123104
61245010403300213
7100600334451024
oct12025546473061
92388252648100
10690107348529
11246744675185
12b18b767a669
13500cca97011
14255895271bb
1512e40851639
hexa0ad9a7631

690107348529 has 45 divisors (see below), whose sum is σ = 1037906368059. Its totient is φ = 456966308160.

The previous prime is 690107348527. The next prime is 690107348561. The reversal of 690107348529 is 925843701096.

The square root of 690107348529 is 830727.

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

690107348529 is a `hidden beast` number, since 6 + 9 + 0 + 1 + 0 + 73 + 48 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 519009298929 + 171098049600 = 720423^2 + 413640^2 .

It is not a de Polignac number, because 690107348529 - 21 = 690107348527 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (690107348527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1801846672 + ... + 1801847054.

It is a 2-persistent number, because it is pandigital, and so is 2⋅690107348529 = 1380214697058, but 3⋅690107348529 = 2070322045587 is not.

Almost surely, 2690107348529 is an apocalyptic number.

690107348529 is the 830727-th square number.

690107348529 is the 415364-th centered octagonal number.

It is an amenable number.

690107348529 is a deficient number, since it is larger than the sum of its proper divisors (347799019530).

690107348529 is an frugal number, since it uses more digits than its factorization.

690107348529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 690107348529 in words is "six hundred ninety billion, one hundred seven million, three hundred forty-eight thousand, five hundred twenty-nine".

Divisors: 1 3 9 27 81 241 383 723 1149 2169 3447 6507 10341 19521 31023 58081 92303 146689 174243 276909 440067 522729 830727 1320201 1568187 2492181 3960603 4704561 7476543 11881809 22245023 35352049 66735069 106056147 200205207 318168441 600615621 954505323 1801846863 2863515969 8519843809 25559531427 76678594281 230035782843 690107348529