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12563270104 = 23711132115439
BaseRepresentation
bin10111011001101010…
…00100100111011000
31012102120000020200011
423230311010213120
5201212144120404
65434350251304
7623221014430
oct135465044730
935376006604
1012563270104
115367702860
1225274b6b34
131252a70148
148727632c0
154d7e35604
hex2ecd449d8

12563270104 has 64 divisors (see below), whose sum is σ = 29392819200. Its totient is φ = 4890758400.

The previous prime is 12563270099. The next prime is 12563270123. The reversal of 12563270104 is 40107236521.

12563270104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 806017 + ... + 821455.

It is an arithmetic number, because the mean of its divisors is an integer number (459262800).

Almost surely, 212563270104 is an apocalyptic number.

12563270104 is a gapful number since it is divisible by the number (14) 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 12563270104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696409600).

12563270104 is an abundant number, since it is smaller than the sum of its proper divisors (16829549096).

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

12563270104 is a wasteful number, since it uses less digits than its factorization.

12563270104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16784 (or 16780 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 12563270104 in words is "twelve billion, five hundred sixty-three million, two hundred seventy thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1321 2642 5284 9247 10568 14531 15439 18494 29062 30878 36988 58124 61756 73976 101717 108073 116248 123512 169829 203434 216146 339658 406868 432292 679316 813736 864584 1188803 1358632 2377606 4755212 9510424 20394919 40789838 81579676 142764433 163159352 224344109 285528866 448688218 571057732 897376436 1142115464 1570408763 1794752872 3140817526 6281635052 12563270104