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679686038880 = 253561104922129
BaseRepresentation
bin10011110010000000111…
…00011110010101100000
32101222101111012020210120
421321000130132111200
542113444111221010
61240124330400240
7100051153002042
oct11710034362540
92358344166716
10679686038880
1124228705aa82
12ab889590080
134c12ba169c4
1424c7b453a92
1512a309c0e70
hex9e4071e560

679686038880 has 192 divisors, whose sum is σ = 2178282456000. Its totient is φ = 178100305920.

The previous prime is 679686038869. The next prime is 679686038887. The reversal of 679686038880 is 88830686976.

It is a super-2 number, since 2×6796860388802 (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 (679686038887) 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 31 ways as a sum of consecutive naturals, for example, 30703656 + ... + 30725784.

It is an arithmetic number, because the mean of its divisors is an integer number (11345221125).

Almost surely, 2679686038880 is an apocalyptic number.

679686038880 is a gapful number since it is divisible by the number (60) 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 679686038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089141228000).

679686038880 is an abundant number, since it is smaller than the sum of its proper divisors (1498596417120).

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

679686038880 is a wasteful number, since it uses less digits than its factorization.

679686038880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23257 (or 23249 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 69.

The spelling of 679686038880 in words is "six hundred seventy-nine billion, six hundred eighty-six million, thirty-eight thousand, eight hundred eighty".