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12705859580 = 22561103101113
BaseRepresentation
bin10111101010101010…
…00000011111111100
31012210111022112122212
423311111000133330
5202010200001310
65500442355552
7626602011251
oct136525003774
935714275585
1012705859580
1154301433a7
1225671bbbb8
13127647600b
1488767d428
154e56ee205
hex2f55407fc

12705859580 has 48 divisors (see below), whose sum is σ = 27383289024. Its totient is φ = 4950443520.

The previous prime is 12705859577. The next prime is 12705859589. The reversal of 12705859580 is 8595850721.

It is a happy number.

It is a super-2 number, since 2×127058595802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12705859589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75104 + ... + 176216.

It is an arithmetic number, because the mean of its divisors is an integer number (570485188).

Almost surely, 212705859580 is an apocalyptic number.

12705859580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12705859580 is an abundant number, since it is smaller than the sum of its proper divisors (14677429444).

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

12705859580 is a wasteful number, since it uses less digits than its factorization.

12705859580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101286 (or 101284 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 50.

The spelling of 12705859580 in words is "twelve billion, seven hundred five million, eight hundred fifty-nine thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 61 103 122 206 244 305 412 515 610 1030 1220 2060 6283 12566 25132 31415 62830 101113 125660 202226 404452 505565 1011130 2022260 6167893 10414639 12335786 20829278 24671572 30839465 41658556 52073195 61678930 104146390 123357860 208292780 635292979 1270585958 2541171916 3176464895 6352929790 12705859580