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675797413824 = 263213389232007
BaseRepresentation
bin10011101010110001010…
…10100010111111000000
32101121100111001122001100
421311120222202333000
542033013114220244
61234242415534400
766552614144541
oct11653052427700
92347314048040
10675797413824
11240671027465
12aab8322a400
134b95c1bc430
14249ccc124c8
15128a43eab69
hex9d58aa2fc0

675797413824 has 168 divisors, whose sum is σ = 2091426835680. Its totient is φ = 207402227712.

The previous prime is 675797413801. The next prime is 675797413829. The reversal of 675797413824 is 428314797576.

675797413824 is a `hidden beast` number, since 6 + 7 + 57 + 97 + 413 + 82 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675797413829) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2796829 + ... + 3028835.

It is an arithmetic number, because the mean of its divisors is an integer number (12448969260).

Almost surely, 2675797413824 is an apocalyptic number.

675797413824 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 675797413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045713417840).

675797413824 is an abundant number, since it is smaller than the sum of its proper divisors (1415629421856).

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

675797413824 is a wasteful number, since it uses less digits than its factorization.

675797413824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232427 (or 232414 counting only the distinct ones).

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

The spelling of 675797413824 in words is "six hundred seventy-five billion, seven hundred ninety-seven million, four hundred thirteen thousand, eight hundred twenty-four".