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13274381817 = 34163881257
BaseRepresentation
bin11000101110011011…
…01111110111111001
31021021010002110120000
430113031233313321
5204141220204232
610033112023213
7646644245424
oct142715576771
937233073500
1013274381817
1156a2051594
1226a5691b09
1313371a00c8
148dcd909bb
1552a5a027c
hex31736fdf9

13274381817 has 10 divisors (see below), whose sum is σ = 19829632218. Its totient is φ = 8849587824.

The previous prime is 13274381807. The next prime is 13274381819. The reversal of 13274381817 is 71818347231.

13274381817 is a `hidden beast` number, since 1 + 32 + 7 + 438 + 181 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13262746896 + 11634921 = 115164^2 + 3411^2 .

It is not a de Polignac number, because 13274381817 - 219 = 13273857529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13274381819) 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 9 ways as a sum of consecutive naturals, for example, 81940548 + ... + 81940709.

Almost surely, 213274381817 is an apocalyptic number.

It is an amenable number.

13274381817 is a deficient number, since it is larger than the sum of its proper divisors (6555250401).

13274381817 is an equidigital number, since it uses as much as digits as its factorization.

13274381817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163881269 (or 163881260 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 13274381817 in words is "thirteen billion, two hundred seventy-four million, three hundred eighty-one thousand, eight hundred seventeen".

Divisors: 1 3 9 27 81 163881257 491643771 1474931313 4424793939 13274381817