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676347652640 = 2551123121713729
BaseRepresentation
bin10011101011110010111…
…01100010101000100000
32101122202211102122210202
421311321131202220200
542040124444341030
61234413153244332
766602345122412
oct11657135425040
92348684378722
10676347652640
11240923687a90
12ab0b75636a8
134ba191b452a
1424a41d249b2
15128d7889745
hex9d79762a20

676347652640 has 192 divisors, whose sum is σ = 1820547912960. Its totient is φ = 235040931840.

The previous prime is 676347652639. The next prime is 676347652723. The reversal of 676347652640 is 46256743676.

It is a super-2 number, since 2×6763476526402 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49257296 + ... + 49271024.

It is an arithmetic number, because the mean of its divisors is an integer number (9482020380).

Almost surely, 2676347652640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676347652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910273956480).

676347652640 is an abundant number, since it is smaller than the sum of its proper divisors (1144200260320).

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

676347652640 is a wasteful number, since it uses less digits than its factorization.

676347652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14995 (or 14987 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 56.

The spelling of 676347652640 in words is "six hundred seventy-six billion, three hundred forty-seven million, six hundred fifty-two thousand, six hundred forty".