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2813313660 = 22351919712527
BaseRepresentation
bin1010011110101111…
…1100001001111100
321021001202010211020
42213223330021330
521230202014120
61143055024140
7126500525433
oct24753741174
97231663736
102813313660
111214051213
1266620b050
1335ab0c151
141c98cc11a
15116eb9640
hexa7afc27c

2813313660 has 96 divisors (see below), whose sum is σ = 8334627840. Its totient is φ = 707067648.

The previous prime is 2813313649. The next prime is 2813313667. The reversal of 2813313660 is 663133182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813313667) 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, 218317 + ... + 230843.

It is an arithmetic number, because the mean of its divisors is an integer number (86819040).

Almost surely, 22813313660 is an apocalyptic number.

2813313660 is a gapful number since it is divisible by the number (20) 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 2813313660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167313920).

2813313660 is an abundant number, since it is smaller than the sum of its proper divisors (5521314180).

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

2813313660 is a wasteful number, since it uses less digits than its factorization.

2813313660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12755 (or 12753 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2813313660 is about 53040.6792942926. The cubic root of 2813313660 is about 1411.6901516859.

The spelling of 2813313660 in words is "two billion, eight hundred thirteen million, three hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 197 228 285 380 394 570 591 788 985 1140 1182 1970 2364 2955 3743 3940 5910 7486 11229 11820 12527 14972 18715 22458 25054 37430 37581 44916 50108 56145 62635 74860 75162 112290 125270 150324 187905 224580 238013 250540 375810 476026 714039 751620 952052 1190065 1428078 2380130 2467819 2856156 3570195 4760260 4935638 7140390 7403457 9871276 12339095 14280780 14806914 24678190 29613828 37017285 46888561 49356380 74034570 93777122 140665683 148069140 187554244 234442805 281331366 468885610 562662732 703328415 937771220 1406656830 2813313660