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12662255680 = 2651132411453
BaseRepresentation
bin10111100101011101…
…01011000001000000
31012200110021020100121
423302232223001000
5201413014140210
65452244030024
7625532253214
oct136256530100
935613236317
1012662255680
115408571118
122554692314
13126a419ca9
1488196c944
154e19896da
hex2f2bab040

12662255680 has 112 divisors (see below), whose sum is σ = 30566069424. Its totient is φ = 4995809280.

The previous prime is 12662255657. The next prime is 12662255681. The reversal of 12662255680 is 8655226621.

It can be written as a sum of positive squares in 8 ways, for example, as 30294016 + 12631961664 = 5504^2 + 112392^2 .

It is not an unprimeable number, because it can be changed into a prime (12662255681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8713834 + ... + 8715286.

Almost surely, 212662255680 is an apocalyptic number.

12662255680 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 12662255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283034712).

12662255680 is an abundant number, since it is smaller than the sum of its proper divisors (17903813744).

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

12662255680 is a wasteful number, since it uses less digits than its factorization.

12662255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 12662255680 in words is "twelve billion, six hundred sixty-two million, two hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 241 320 452 482 565 904 964 1130 1205 1453 1808 1928 2260 2410 2906 3616 3856 4520 4820 5812 7232 7265 7712 9040 9640 11624 14530 15424 18080 19280 23248 27233 29060 36160 38560 46496 54466 58120 77120 92992 108932 116240 136165 164189 217864 232480 272330 328378 350173 435728 464960 544660 656756 700346 820945 871456 1089320 1313512 1400692 1641890 1742912 1750865 2178640 2627024 2801384 3283780 3501730 4357280 5254048 5602768 6567560 7003460 8714560 10508096 11205536 13135120 14006920 22411072 26270240 28013840 39569549 52540480 56027680 79139098 112055360 158278196 197847745 316556392 395695490 633112784 791390980 1266225568 1582781960 2532451136 3165563920 6331127840 12662255680