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12660541938 = 23211224112
BaseRepresentation
bin10111100101010000…
…01000100111110010
31012200100001011112200
423302220020213302
5201412044320223
65452143204030
7625511554662
oct136250104762
935610034480
1012660541938
115407600600
122553ba6616
131269c69c45
148816441a2
154e174ba43
hex2f2a089f2

12660541938 has 54 divisors (see below), whose sum is σ = 30164132271. Its totient is φ = 3834936600.

The previous prime is 12660541931. The next prime is 12660541969. The reversal of 12660541938 is 83914506621.

12660541938 is a `hidden beast` number, since 1 + 2 + 6 + 605 + 4 + 1 + 9 + 38 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6330270969 + 6330270969 = 79563^2 + 79563^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=79563.

It is a junction number, because it is equal to n+sod(n) for n = 12660541893 and 12660541902.

It is not an unprimeable number, because it can be changed into a prime (12660541931) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5249953 + ... + 5252363.

Almost surely, 212660541938 is an apocalyptic number.

12660541938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12660541938

12660541938 is an abundant number, since it is smaller than the sum of its proper divisors (17503590333).

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

12660541938 is an equidigital number, since it uses as much as digits as its factorization.

12660541938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12660541938 in words is "twelve billion, six hundred sixty million, five hundred forty-one thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 2411 4822 7233 14466 21699 26521 43398 53042 79563 159126 238689 291731 477378 583462 875193 1750386 2625579 5251158 5812921 11625842 17438763 34877526 52316289 63942131 104632578 127884262 191826393 383652786 575479179 703363441 1150958358 1406726882 2110090323 4220180646 6330270969 12660541938