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12427755201 = 3219383189757
BaseRepresentation
bin10111001001100000…
…00111111011000001
31012002010000101011200
423210300013323001
5200423001131301
65413105531413
7616654114311
oct134460077301
935063011150
1012427755201
1152a8164474
1224aa043b69
131230973404
1485c769441
154cb0b7c86
hex2e4c07ec1

12427755201 has 24 divisors (see below), whose sum is σ = 18945438720. Its totient is φ = 7828573536.

The previous prime is 12427755173. The next prime is 12427755217. The reversal of 12427755201 is 10255772421.

12427755201 is a `hidden beast` number, since 124 + 2 + 7 + 7 + 5 + 520 + 1 = 666.

It is not a de Polignac number, because 12427755201 - 213 = 12427747009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12427755251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29386 + ... + 160371.

It is an arithmetic number, because the mean of its divisors is an integer number (789393280).

Almost surely, 212427755201 is an apocalyptic number.

It is an amenable number.

12427755201 is a deficient number, since it is larger than the sum of its proper divisors (6517683519).

12427755201 is a wasteful number, since it uses less digits than its factorization.

12427755201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190165 (or 190162 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 12427755201 in words is "twelve billion, four hundred twenty-seven million, seven hundred fifty-five thousand, two hundred one".

Divisors: 1 3 9 19 57 171 383 1149 3447 7277 21831 65493 189757 569271 1707813 3605383 10816149 32448447 72676931 218030793 654092379 1380861689 4142585067 12427755201