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676713553920 = 213365131173
BaseRepresentation
bin10011101100011110100…
…01010110000000000000
32101200201022221101000000
421312033101112000000
542041402132211140
61234513344000000
766614410205115
oct11661721260000
92350638841000
10676713553920
11240aa1183038
12ab19a000000
134ba76c47371
1424a7877090c
1512909a64a30
hex9d8f456000

676713553920 has 784 divisors, whose sum is σ = 2467675351152. Its totient is φ = 178044272640.

The previous prime is 676713553811. The next prime is 676713553921. The reversal of 676713553920 is 29355317676.

676713553920 is a `hidden beast` number, since 6 + 7 + 6 + 71 + 35 + 539 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676713553921) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3911638954 + ... + 3911639126.

Almost surely, 2676713553920 is an apocalyptic number.

676713553920 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 676713553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233837675576).

676713553920 is an abundant number, since it is smaller than the sum of its proper divisors (1790961797232).

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

676713553920 is an equidigital number, since it uses as much as digits as its factorization.

676713553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 676713553920 in words is "six hundred seventy-six billion, seven hundred thirteen million, five hundred fifty-three thousand, nine hundred twenty".