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12491352560 = 245592646473
BaseRepresentation
bin10111010001000101…
…01110100111110000
31012020112200110100102
423220202232213300
5201040241240220
65423301011532
7621355513331
oct135042564760
935215613312
1012491352560
115330052075
1225073b3ba8
131240bac89b
14866da2288
154d197b775
hex2e88ae9f0

12491352560 has 40 divisors (see below), whose sum is σ = 29534649840. Its totient is φ = 4911852032.

The previous prime is 12491352547. The next prime is 12491352593. The reversal of 12491352560 is 6525319421.

12491352560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1318517 + ... + 1327956.

It is an arithmetic number, because the mean of its divisors is an integer number (738366246).

Almost surely, 212491352560 is an apocalyptic number.

12491352560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12491352560 is an abundant number, since it is smaller than the sum of its proper divisors (17043297280).

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

12491352560 is a wasteful number, since it uses less digits than its factorization.

12491352560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646545 (or 2646539 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 12491352560 in words is "twelve billion, four hundred ninety-one million, three hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 2646473 5292946 10585892 13232365 21171784 26464730 42343568 52929460 105858920 156141907 211717840 312283814 624567628 780709535 1249135256 1561419070 2498270512 3122838140 6245676280 12491352560