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12614656001300 = 2252126146560013
BaseRepresentation
bin1011011110010001010000…
…0101110000010100010100
31122122221122001210011110122
42313210110011300110110
53123134303414020200
642455032025211112
72441243635556213
oct267442405602424
948587561704418
1012614656001300
1140239334a4071
1214b897a930a98
137067318316c2
143187a44dd07a
1516d2097a2385
hexb7914170514

12614656001300 has 18 divisors (see below), whose sum is σ = 27373803523038. Its totient is φ = 5045862400480.

The previous prime is 12614656001273. The next prime is 12614656001303. The reversal of 12614656001300 is 310065641621.

It can be written as a sum of positive squares in 3 ways, for example, as 781799029636 + 11832856971664 = 884194^2 + 3439892^2 .

It is a super-2 number, since 2×126146560013002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12614656001303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63073279907 + ... + 63073280106.

It is an arithmetic number, because the mean of its divisors is an integer number (1520766862391).

Almost surely, 212614656001300 is an apocalyptic number.

12614656001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12614656001300 is an abundant number, since it is smaller than the sum of its proper divisors (14759147521738).

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

12614656001300 is a wasteful number, since it uses less digits than its factorization.

12614656001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126146560027 (or 126146560020 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 12614656001300 in words is "twelve trillion, six hundred fourteen billion, six hundred fifty-six million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 126146560013 252293120026 504586240052 630732800065 1261465600130 2522931200260 3153664000325 6307328000650 12614656001300