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12765012500 = 22556116741
BaseRepresentation
bin10111110001101101…
…01010001000010100
31012221121121211012202
423320312222020110
5202120320400000
65510354304032
7631220546612
oct137066521024
935847554182
1012765012500
115460575909
122582b88018
1312857b7546
1489147a6b2
154ea9d5dd5
hex2f8daa214

12765012500 has 72 divisors (see below), whose sum is σ = 28381105368. Its totient is φ = 5022000000.

The previous prime is 12765012487. The next prime is 12765012503. The reversal of 12765012500 is 521056721.

It can be written as a sum of positive squares in 12 ways, for example, as 12731511556 + 33500944 = 112834^2 + 5788^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12765012503) 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, 754130 + ... + 770870.

It is an arithmetic number, because the mean of its divisors is an integer number (394182019).

Almost surely, 212765012500 is an apocalyptic number.

12765012500 is a gapful number since it is divisible by the number (10) 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 12765012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190552684).

12765012500 is an abundant number, since it is smaller than the sum of its proper divisors (15616092868).

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

12765012500 is an equidigital number, since it uses as much as digits as its factorization.

12765012500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16831 (or 16809 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The spelling of 12765012500 in words is "twelve billion, seven hundred sixty-five million, twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 610 625 1220 1250 1525 2500 3050 3125 6100 6250 7625 12500 15250 16741 30500 33482 38125 66964 76250 83705 152500 167410 190625 334820 381250 418525 762500 837050 1021201 1674100 2042402 2092625 4084804 4185250 5106005 8370500 10212010 10463125 20424020 20926250 25530025 41852500 51060050 52315625 102120100 104631250 127650125 209262500 255300250 510600500 638250625 1276501250 2553002500 3191253125 6382506250 12765012500