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679875004746 = 232717312437681
BaseRepresentation
bin10011110010010111011…
…01010100100101001010
32101222212122202201020100
421321023231110211022
542114341000122441
61240155200510230
7100055636121660
oct11711355244512
92358778681210
10679875004746
11242373796913
12ab92091b376
134c15bc09822
1424c985a2c30
1512a4239acb6
hex9e4bb5494a

679875004746 has 288 divisors, whose sum is σ = 1884965157504. Its totient is φ = 172788940800.

The previous prime is 679875004687. The next prime is 679875004759. The reversal of 679875004746 is 647400578976.

679875004746 is a `hidden beast` number, since 6 + 7 + 9 + 87 + 500 + 4 + 7 + 46 = 666.

679875004746 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88510026 + ... + 88517706.

It is an arithmetic number, because the mean of its divisors is an integer number (6545017908).

Almost surely, 2679875004746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679875004746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942482578752).

679875004746 is an abundant number, since it is smaller than the sum of its proper divisors (1205090152758).

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

679875004746 is a wasteful number, since it uses less digits than its factorization.

679875004746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7818 (or 7784 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 679875004746 in words is "six hundred seventy-nine billion, eight hundred seventy-five million, four thousand, seven hundred forty-six".