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13827113442 = 232768172969
BaseRepresentation
bin11001110000010100…
…10000000111100010
31022200122011010210200
430320022100013202
5211304220112232
610204015010030
7666435345042
oct147012200742
938618133720
1013827113442
115956054a8a
12281a809916
1313c4858a3c
14952551722
1555dd8277c
hex3382901e2

13827113442 has 12 divisors (see below), whose sum is σ = 29958745830. Its totient is φ = 4609037808.

The previous prime is 13827113437. The next prime is 13827113473. The reversal of 13827113442 is 24431172831.

13827113442 is a `hidden beast` number, since 138 + 2 + 71 + 13 + 442 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13259292201 + 567821241 = 115149^2 + 23829^2 .

It is a super-2 number, since 2×138271134422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13827113397 and 13827113406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 384086467 + ... + 384086502.

Almost surely, 213827113442 is an apocalyptic number.

13827113442 is an abundant number, since it is smaller than the sum of its proper divisors (16131632388).

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

13827113442 is a wasteful number, since it uses less digits than its factorization.

13827113442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768172977 (or 768172974 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 13827113442 in words is "thirteen billion, eight hundred twenty-seven million, one hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 768172969 1536345938 2304518907 4609037814 6913556721 13827113442