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675814864004 = 2273127713192131
BaseRepresentation
bin10011101010110011011…
…01000111010010000100
32101121101200220012012022
421311121231013102010
542033032101122004
61234244241542312
766553215363650
oct11653155072204
92347350805168
10675814864004
1124067a965aa5
12aab89044998
134b9629bc097
14249d1275a60
15128a5be62be
hex9d59b47484

675814864004 has 96 divisors (see below), whose sum is σ = 1401986826240. Its totient is φ = 278937302400.

The previous prime is 675814864001. The next prime is 675814864019. The reversal of 675814864004 is 400468418576.

It is not an unprimeable number, because it can be changed into a prime (675814864001) 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 31 ways as a sum of consecutive naturals, for example, 317134019 + ... + 317136149.

It is an arithmetic number, because the mean of its divisors is an integer number (14604029440).

Almost surely, 2675814864004 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 675814864004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700993413120).

675814864004 is an abundant number, since it is smaller than the sum of its proper divisors (726171962236).

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

675814864004 is a wasteful number, since it uses less digits than its factorization.

675814864004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 53.

The spelling of 675814864004 in words is "six hundred seventy-five billion, eight hundred fourteen million, eight hundred sixty-four thousand, four".

Divisors: 1 2 4 7 14 28 31 62 124 217 277 434 554 868 1108 1319 1939 2131 2638 3878 4262 5276 7756 8524 8587 9233 14917 17174 18466 29834 34348 36932 40889 59668 60109 66061 81778 120218 132122 163556 240436 264244 286223 365363 462427 572446 590287 730726 924854 1144892 1180574 1461452 1849708 2361148 2557541 2810789 4132009 5115082 5621578 8264018 10230164 11243156 11326253 16528036 18298897 19675523 22652506 36597794 39351046 45305012 73195588 78702092 79283771 87134459 128092279 158567542 174268918 256184558 317135084 348537836 512369116 609941213 778588553 1219882426 1557177106 2439764852 3114354212 5450119871 10900239742 21800479484 24136245143 48272490286 96544980572 168953716001 337907432002 675814864004