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12503656064 = 273116718869
BaseRepresentation
bin10111010010100011…
…01010011010000000
31012021101211112120202
423221101222122000
5201101413443224
65424420424332
7621565215524
oct135121523200
935241745522
1012503656064
115336a95959
12250b5480a8
1312435c9a73
14868885d84
154d2aabeae
hex2e946a680

12503656064 has 64 divisors (see below), whose sum is σ = 25868505600. Its totient is φ = 6013608960.

The previous prime is 12503656063. The next prime is 12503656091. The reversal of 12503656064 is 46065630521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12503656063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653222 + ... + 672090.

It is an arithmetic number, because the mean of its divisors is an integer number (404195400).

Almost surely, 212503656064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12503656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12934252800).

12503656064 is an abundant number, since it is smaller than the sum of its proper divisors (13364849536).

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

12503656064 is a wasteful number, since it uses less digits than its factorization.

12503656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19081 (or 19069 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 12503656064 in words is "twelve billion, five hundred three million, six hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 167 248 334 496 668 992 1336 1984 2672 3968 5177 5344 10354 10688 18869 20708 21376 37738 41416 75476 82832 150952 165664 301904 331328 584939 603808 662656 1169878 1207616 2339756 2415232 3151123 4679512 6302246 9359024 12604492 18718048 25208984 37436096 50417968 74872192 97684813 100835936 195369626 201671872 390739252 403343744 781478504 1562957008 3125914016 6251828032 12503656064