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12807644500 = 225372522761
BaseRepresentation
bin10111110110110010…
…10010010101010100
31020001120211202022201
423323121102111110
5202212224111000
65514520134244
7632246116300
oct137331222524
936046752281
1012807644500
115482643972
122595307384
131291593091
14896db6d00
154ee60796a
hex2fb652554

12807644500 has 72 divisors (see below), whose sum is σ = 32538797928. Its totient is φ = 4391184000.

The previous prime is 12807644429. The next prime is 12807644503. The reversal of 12807644500 is 544670821.

It can be written as a sum of positive squares in 4 ways, for example, as 68459076 + 12739185424 = 8274^2 + 112868^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12807644500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12807644503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236881 + ... + 285880.

It is an arithmetic number, because the mean of its divisors is an integer number (451927749).

Almost surely, 212807644500 is an apocalyptic number.

12807644500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12807644500 is an abundant number, since it is smaller than the sum of its proper divisors (19731153428).

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

12807644500 is a wasteful number, since it uses less digits than its factorization.

12807644500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522794 (or 522775 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 12807644500 in words is "twelve billion, eight hundred seven million, six hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 490 500 700 875 980 1225 1750 2450 3500 4900 6125 12250 24500 522761 1045522 2091044 2613805 3659327 5227610 7318654 10455220 13069025 14637308 18296635 25615289 26138050 36593270 51230578 52276100 65345125 73186540 91483175 102461156 128076445 130690250 182966350 256152890 261380500 365932700 457415875 512305780 640382225 914831750 1280764450 1829663500 2561528900 3201911125 6403822250 12807644500