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138235653 = 3517109307
BaseRepresentation
bin10000011110101…
…00111100000101
3100122010002200000
420033110330011
5240342020103
621414511513
73265661253
oct1017247405
9318102600
10138235653
1171037546
123a365599
132284025a
14145055d3
15c208aa3
hex83d4f05

138235653 has 48 divisors (see below), whose sum is σ = 221981760. Its totient is φ = 85660416.

The previous prime is 138235633. The next prime is 138235661. The reversal of 138235653 is 356532831.

138235653 is a `hidden beast` number, since 13 + 82 + 3 + 565 + 3 = 666.

It is not a de Polignac number, because 138235653 - 212 = 138231557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138235633) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 450126 + ... + 450432.

It is an arithmetic number, because the mean of its divisors is an integer number (4624620).

Almost surely, 2138235653 is an apocalyptic number.

It is an amenable number.

138235653 is a deficient number, since it is larger than the sum of its proper divisors (83746107).

138235653 is a wasteful number, since it uses less digits than its factorization.

138235653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 138235653 is about 11757.3659039770. The cubic root of 138235653 is about 517.0589058011.

The spelling of 138235653 in words is "one hundred thirty-eight million, two hundred thirty-five thousand, six hundred fifty-three".

Divisors: 1 3 9 17 27 51 81 109 153 243 307 327 459 921 981 1377 1853 2763 2943 4131 5219 5559 8289 8829 15657 16677 24867 26487 33463 46971 50031 74601 100389 140913 150093 301167 422739 450279 568871 903501 1268217 1706613 2710503 5119839 8131509 15359517 46078551 138235653