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12657536220 = 2235731972161
BaseRepresentation
bin10111100100111001…
…01010110011011100
31012200010101110110210
423302130222303130
5201410312124340
65451554532420
7625444165650
oct136234526334
935603343423
1012657536220
11540593833a
122552b97110
131269456b04
148810a0a60
154e1356180
hex2f272acdc

12657536220 has 96 divisors (see below), whose sum is σ = 41810743296. Its totient is φ = 2799820800.

The previous prime is 12657536197. The next prime is 12657536239. The reversal of 12657536220 is 2263575621.

It is a happy number.

It is a super-2 number, since 2×126575362202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 473061 + ... + 499100.

It is an arithmetic number, because the mean of its divisors is an integer number (435528576).

Almost surely, 212657536220 is an apocalyptic number.

12657536220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12657536220 is an abundant number, since it is smaller than the sum of its proper divisors (29153207076).

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

12657536220 is a wasteful number, since it uses less digits than its factorization.

12657536220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972211 (or 972209 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 12657536220 in words is "twelve billion, six hundred fifty-seven million, five hundred thirty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 4340 6510 13020 972161 1944322 2916483 3888644 4860805 5832966 6805127 9721610 11665932 13610254 14582415 19443220 20415381 27220508 29164830 30136991 34025635 40830762 58329660 60273982 68051270 81661524 90410973 102076905 120547964 136102540 150684955 180821946 204153810 210958937 301369910 361643892 408307620 421917874 452054865 602739820 632876811 843835748 904109730 1054794685 1265753622 1808219460 2109589370 2531507244 3164384055 4219178740 6328768110 12657536220