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138193831327 = 2327172730497
BaseRepresentation
bin1000000010110011111…
…1101000010110011111
3111012200222002000010011
42000230333220112133
54231010110100302
6143252501224051
712661400120266
oct2005477502637
9435628060104
10138193831327
11536758a6962
1222948a02027
1310054622236
14698d7cb5dd
1538dc39a5d7
hex202cfe859f

138193831327 has 16 divisors (see below), whose sum is σ = 144938207232. Its totient is φ = 131512170240.

The previous prime is 138193831313. The next prime is 138193831331. The reversal of 138193831327 is 723138391831.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 138193831327 - 27 = 138193831199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138193831367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4516143 + ... + 4546639.

It is an arithmetic number, because the mean of its divisors is an integer number (9058637952).

Almost surely, 2138193831327 is an apocalyptic number.

138193831327 is a deficient number, since it is larger than the sum of its proper divisors (6744375905).

138193831327 is a wasteful number, since it uses less digits than its factorization.

138193831327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31518.

The product of its digits is 653184, while the sum is 49.

The spelling of 138193831327 in words is "one hundred thirty-eight billion, one hundred ninety-three million, eight hundred thirty-one thousand, three hundred twenty-seven".

Divisors: 1 23 271 727 6233 16721 30497 197017 701431 4531391 8264687 22171319 190087801 509940337 6008427449 138193831327