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679339894464 = 2633711311091511
BaseRepresentation
bin10011110001010111101…
…00000010011011000000
32101221111100212021221000
421320223310002123000
542112242003110324
61240030123332000
7100036450553460
oct11705364023300
92357440767830
10679339894464
11242119729610
12ab7b1681000
134c0a50b071a
1424c474abba0
1512a103e99c9
hex9e2bd026c0

679339894464 has 896 divisors, whose sum is σ = 2595550003200. Its totient is φ = 169081344000.

The previous prime is 679339894463. The next prime is 679339894553. The reversal of 679339894464 is 464498933976.

679339894464 is a `hidden beast` number, since 6 + 7 + 93 + 3 + 98 + 9 + 446 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 679339894392 and 679339894401.

It is not an unprimeable number, because it can be changed into a prime (679339894463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 449595469 + ... + 449596979.

It is an arithmetic number, because the mean of its divisors is an integer number (2896819200).

Almost surely, 2679339894464 is an apocalyptic number.

679339894464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679339894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297775001600).

679339894464 is an abundant number, since it is smaller than the sum of its proper divisors (1916210108736).

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

679339894464 is a wasteful number, since it uses less digits than its factorization.

679339894464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1674 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 679339894464 in words is "six hundred seventy-nine billion, three hundred thirty-nine million, eight hundred ninety-four thousand, four hundred sixty-four".