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2713314500 = 2253131014133
BaseRepresentation
bin1010000110111001…
…1110010011000100
321000002120122202122
42201232132103010
521024102031000
61125123425112
7124144535621
oct24156362304
97002518678
102713314500
111172660386
12638825198
13343198b50
141ba4db348
1510d315085
hexa1b9e4c4

2713314500 has 96 divisors (see below), whose sum is σ = 6446460384. Its totient is φ = 991680000.

The previous prime is 2713314497. The next prime is 2713314509. The reversal of 2713314500 is 54133172.

It can be written as a sum of positive squares in 16 ways, for example, as 1329623296 + 1383691204 = 36464^2 + 37198^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2713314500.

It is not an unprimeable number, because it can be changed into a prime (2713314509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654434 + ... + 658566.

It is an arithmetic number, because the mean of its divisors is an integer number (67150629).

Almost surely, 22713314500 is an apocalyptic number.

2713314500 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 2713314500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223230192).

2713314500 is an abundant number, since it is smaller than the sum of its proper divisors (3733145884).

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

2713314500 is a wasteful number, since it uses less digits than its factorization.

2713314500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 2713314500 is about 52089.4855033144. The cubic root of 2713314500 is about 1394.7618029172.

Adding to 2713314500 its reverse (54133172), we get a palindrome (2767447672).

The spelling of 2713314500 in words is "two billion, seven hundred thirteen million, three hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 125 130 202 250 260 325 404 500 505 650 1010 1300 1313 1625 2020 2525 2626 3250 4133 5050 5252 6500 6565 8266 10100 12625 13130 16532 20665 25250 26260 32825 41330 50500 53729 65650 82660 103325 107458 131300 164125 206650 214916 268645 328250 413300 417433 516625 537290 656500 834866 1033250 1074580 1343225 1669732 2066500 2087165 2686450 4174330 5372900 5426629 6716125 8348660 10435825 10853258 13432250 20871650 21706516 26864500 27133145 41743300 52179125 54266290 104358250 108532580 135665725 208716500 271331450 542662900 678328625 1356657250 2713314500