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135258372837117 = 32135647110792779
BaseRepresentation
bin11110110000010001001011…
…010001000000111011111101
3122201220120111120012110120200
4132300101023101000323331
5120212033121421241432
61155400501053034113
740330044366304335
oct3660211321007375
9581816446173520
10135258372837117
113a108832319432
1213205b8b485939
135a61a6b26c20a
14255877c3540c5
1510985a9bc9a7c
hex7b044b440efd

135258372837117 has 12 divisors (see below), whose sum is σ = 195374647278720. Its totient is φ = 90171582987528.

The previous prime is 135258372837079. The next prime is 135258372837127. The reversal of 135258372837117 is 711738273852531.

135258372837117 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 583 + 7 + 2 + 8 + 37 + 1 + 17 = 666.

It is not a de Polignac number, because 135258372837117 - 220 = 135258371788541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135258372837127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54175567 + ... + 56617212.

It is an arithmetic number, because the mean of its divisors is an integer number (16281220606560).

Almost surely, 2135258372837117 is an apocalyptic number.

It is an amenable number.

135258372837117 is a deficient number, since it is larger than the sum of its proper divisors (60116274441603).

135258372837117 is a wasteful number, since it uses less digits than its factorization.

135258372837117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110928432 (or 110928429 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 135258372837117 in words is "one hundred thirty-five trillion, two hundred fifty-eight billion, three hundred seventy-two million, eight hundred thirty-seven thousand, one hundred seventeen".

Divisors: 1 3 9 135647 406941 1220823 110792779 332378337 997135011 15028708093013 45086124279039 135258372837117