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679364656464 = 2431367131163761
BaseRepresentation
bin10011110001011010100…
…10011111110101010000
32101221120002110100000010
421320231102133311100
542112314323001324
61240032410154520
7100040201205054
oct11705522376520
92357502410003
10679364656464
1124213170167a
12ab7b9a22a40
134c0aa2704b0
1424c4a8b5c64
1512a1268b829
hex9e2d49fd50

679364656464 has 320 divisors, whose sum is σ = 1947293365248. Its totient is φ = 202822963200.

The previous prime is 679364656459. The next prime is 679364656471. The reversal of 679364656464 is 464656463976.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 679364656395 and 679364656404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 892725844 + ... + 892726604.

Almost surely, 2679364656464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679364656464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973646682624).

679364656464 is an abundant number, since it is smaller than the sum of its proper divisors (1267928708784).

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

679364656464 is a wasteful number, since it uses less digits than its factorization.

679364656464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1140 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 66.

The spelling of 679364656464 in words is "six hundred seventy-nine billion, three hundred sixty-four million, six hundred fifty-six thousand, four hundred sixty-four".