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679152664431 = 325912697100733
BaseRepresentation
bin10011110001000001010…
…01110011111101101111
32101221000022120000121100
421320200221303331233
542111401040230211
61235555354334143
7100032015253353
oct11704051637557
92357008500540
10679152664431
11242032a7894a
12ab75aa2a353
134c075377a17
1424c2a691463
15129edc64156
hex9e20a73f6f

679152664431 has 24 divisors (see below), whose sum is σ = 997713858960. Its totient is φ = 445054928256.

The previous prime is 679152664417. The next prime is 679152664447. The reversal of 679152664431 is 134466251976.

It is a happy number.

679152664431 is a `hidden beast` number, since 6 + 7 + 91 + 52 + 66 + 443 + 1 = 666.

It is not a de Polignac number, because 679152664431 - 230 = 678078922607 is a prime.

It is a super-2 number, since 2×6791526644312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679152664451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6691741 + ... + 6792473.

It is an arithmetic number, because the mean of its divisors is an integer number (41571410790).

Almost surely, 2679152664431 is an apocalyptic number.

679152664431 is a deficient number, since it is larger than the sum of its proper divisors (318561194529).

679152664431 is a wasteful number, since it uses less digits than its factorization.

679152664431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113495 (or 113492 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 679152664431 in words is "six hundred seventy-nine billion, one hundred fifty-two million, six hundred sixty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 59 177 531 12697 38091 100733 114273 302199 749123 906597 2247369 5943247 6742107 17829741 53489223 1279006901 3837020703 11511062109 75461407159 226384221477 679152664431