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13677054975 = 3252891973467
BaseRepresentation
bin11001011110011011…
…10100101111111111
31022022011210101021200
430233031310233333
5211002311224400
610141054430543
7662634022563
oct145715645777
938264711250
1013677054975
115889382921
122798502453
13139c73934c
1493a64d6a3
15550ae0b00
hex32f374bff

13677054975 has 72 divisors (see below), whose sum is σ = 24905303280. Its totient is φ = 7173788160.

The previous prime is 13677054971. The next prime is 13677055027. The reversal of 13677054975 is 57945077631.

It is not a de Polignac number, because 13677054975 - 22 = 13677054971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13677054971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3943192 + ... + 3946658.

It is an arithmetic number, because the mean of its divisors is an integer number (345906990).

Almost surely, 213677054975 is an apocalyptic number.

13677054975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13677054975 is a deficient number, since it is larger than the sum of its proper divisors (11228248305).

13677054975 is a wasteful number, since it uses less digits than its factorization.

13677054975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 13677054975 in words is "thirteen billion, six hundred seventy-seven million, fifty-four thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 89 197 225 267 445 591 801 985 1335 1773 2225 2955 3467 4005 4925 6675 8865 10401 14775 17335 17533 20025 31203 44325 52005 52599 86675 87665 156015 157797 260025 262995 308563 438325 682999 780075 788985 925689 1314975 1542815 2048997 2777067 3414995 3944925 4628445 6146991 7714075 10244985 13885335 17074975 23142225 30734955 51224925 60786911 69426675 153674775 182360733 303934555 547082199 911803665 1519672775 2735410995 4559018325 13677054975