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12714146860275 = 32527192349937019
BaseRepresentation
bin1011100100000011111000…
…1101010000110011110011
31200000110102202101110112100
42321000332031100303303
53131302033044012100
643012444243431443
72451365261116440
oct271007615206363
950013382343470
1012714146860275
114062048499a63
121514106085583
13712c28a08463
1431d521aa89c7
15170acde6a400
hexb903e350cf3

12714146860275 has 288 divisors, whose sum is σ = 28644595200000. Its totient is φ = 5256176935680.

The previous prime is 12714146860271. The next prime is 12714146860333. The reversal of 12714146860275 is 57206864141721.

It is a happy number.

12714146860275 is a `hidden beast` number, since 1 + 2 + 7 + 14 + 14 + 6 + 8 + 602 + 7 + 5 = 666.

12714146860275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12714146860275 - 22 = 12714146860271 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12714146860271) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 343430716 + ... + 343467734.

It is an arithmetic number, because the mean of its divisors is an integer number (99460400000).

Almost surely, 212714146860275 is an apocalyptic number.

12714146860275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12714146860275 is an abundant number, since it is smaller than the sum of its proper divisors (15930448339725).

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

12714146860275 is a wasteful number, since it uses less digits than its factorization.

12714146860275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37583 (or 37575 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 12714146860275 in words is "twelve trillion, seven hundred fourteen billion, one hundred forty-six million, eight hundred sixty thousand, two hundred seventy-five".