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12702348660 = 22351722935431
BaseRepresentation
bin10111101010001111…
…00111010101110100
31012210020201011120210
423311013213111310
5202003300124120
65500235225420
7626530116321
oct136507472564
935706634523
1012702348660
115429165611
122565ba8270
131275816c51
14887007b48
154e5258ce0
hex2f51e7574

12702348660 has 96 divisors (see below), whose sum is σ = 37682088192. Its totient is φ = 3186063360.

The previous prime is 12702348653. The next prime is 12702348661. The reversal of 12702348660 is 6684320721.

It is a happy number.

It is a super-2 number, since 2×127023486602 (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 (12702348661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2336145 + ... + 2341575.

It is an arithmetic number, because the mean of its divisors is an integer number (392521752).

Almost surely, 212702348660 is an apocalyptic number.

12702348660 is a gapful number since it is divisible by the number (10) 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 12702348660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18841044096).

12702348660 is an abundant number, since it is smaller than the sum of its proper divisors (24979739532).

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

12702348660 is a wasteful number, since it uses less digits than its factorization.

12702348660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7753 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 12702348660 in words is "twelve billion, seven hundred two million, three hundred forty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2293 4586 5431 6879 9172 10862 11465 13758 16293 21724 22930 27155 27516 32586 34395 38981 45860 54310 65172 68790 77962 81465 92327 108620 116943 137580 155924 162930 184654 194905 233886 276981 325860 369308 389810 461635 467772 553962 584715 779620 923270 1107924 1169430 1384905 1846540 2338860 2769810 5539620 12453283 24906566 37359849 49813132 62266415 74719698 124532830 149439396 186799245 211705811 249065660 373598490 423411622 635117433 747196980 846823244 1058529055 1270234866 2117058110 2540469732 3175587165 4234116220 6351174330 12702348660