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138017853 = 3217338849
BaseRepresentation
bin10000011100111…
…11110000111101
3100121201000220100
420032133300331
5240313032403
621410111313
73264063261
oct1016376075
9317630810
10138017853
11709a8946
123a27b539
132279508c
141448a0a1
15c1b42a3
hex839fc3d

138017853 has 12 divisors (see below), whose sum is σ = 199496700. Its totient is φ = 91948416.

The previous prime is 138017851. The next prime is 138017863. The reversal of 138017853 is 358710831.

It can be written as a sum of positive squares in 2 ways, for example, as 19686969 + 118330884 = 4437^2 + 10878^2 .

It is not a de Polignac number, because 138017853 - 21 = 138017851 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138017851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11173 + ... + 20021.

It is an arithmetic number, because the mean of its divisors is an integer number (16624725).

Almost surely, 2138017853 is an apocalyptic number.

It is an amenable number.

138017853 is a deficient number, since it is larger than the sum of its proper divisors (61478847).

138017853 is a wasteful number, since it uses less digits than its factorization.

138017853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10588 (or 10585 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 138017853 is about 11748.0999740384. The cubic root of 138017853 is about 516.7872088267.

The spelling of 138017853 in words is "one hundred thirty-eight million, seventeen thousand, eight hundred fifty-three".

Divisors: 1 3 9 1733 5199 8849 15597 26547 79641 15335317 46005951 138017853