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680783879424 = 283111931414771
BaseRepresentation
bin10011110100000011110…
…00011001110100000000
32102002012222222022220110
421322001320121310000
542123221133120144
61240425305111320
7100120313332245
oct11720170316400
92362188868813
10680783879424
1124279a82a910
12abb35188540
134c2752bc7ac
1424d4318d5cc
1512a9707c0b9
hex9e81e19d00

680783879424 has 1152 divisors, whose sum is σ = 2278584483840. Its totient is φ = 178053120000.

The previous prime is 680783879317. The next prime is 680783879437. The reversal of 680783879424 is 424978387086.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9588505309 + ... + 9588505379.

It is an arithmetic number, because the mean of its divisors is an integer number (1977937920).

Almost surely, 2680783879424 is an apocalyptic number.

680783879424 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 680783879424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139292241920).

680783879424 is an abundant number, since it is smaller than the sum of its proper divisors (1597800604416).

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

680783879424 is a wasteful number, since it uses less digits than its factorization.

680783879424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 66.

The spelling of 680783879424 in words is "six hundred eighty billion, seven hundred eighty-three million, eight hundred seventy-nine thousand, four hundred twenty-four".