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12566317040 = 245179239939
BaseRepresentation
bin10111011010000001…
…01100011111110000
31012102202202001021122
423231000230133300
5201213434121130
65434535441412
7623255634554
oct135500543760
935382661248
1012566317040
1153693a3a92
122528526268
131253598c74
14872d17864
154d83382e5
hex2ed02c7f0

12566317040 has 40 divisors (see below), whose sum is σ = 30935319120. Its totient is φ = 4730848256.

The previous prime is 12566317039. The next prime is 12566317069. The reversal of 12566317040 is 4071366521.

12566317040 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, 4618610 + ... + 4621329.

It is an arithmetic number, because the mean of its divisors is an integer number (773382978).

Almost surely, 212566317040 is an apocalyptic number.

12566317040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12566317040 is an abundant number, since it is smaller than the sum of its proper divisors (18369002080).

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

12566317040 is a wasteful number, since it uses less digits than its factorization.

12566317040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9239969 (or 9239963 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 12566317040 in words is "twelve billion, five hundred sixty-six million, three hundred seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 9239939 18479878 36959756 46199695 73919512 92399390 147839024 157078963 184798780 314157926 369597560 628315852 739195120 785394815 1256631704 1570789630 2513263408 3141579260 6283158520 12566317040