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138271563 = 33312732
BaseRepresentation
bin10000011110111…
…01101101001011
3100122011220221000
420033131231023
5240344142223
621415350043
73266201043
oct1017355513
9318156830
10138271563
1171061521
123a382323
13228536c1
1414514723
15c214543
hex83ddb4b

138271563 has 36 divisors (see below), whose sum is σ = 214607160. Its totient is φ = 87985440.

The previous prime is 138271547. The next prime is 138271571. The reversal of 138271563 is 365172831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

138271563 is a `hidden beast` number, since 13 + 82 + 7 + 1 + 563 = 666.

It is not a de Polignac number, because 138271563 - 24 = 138271547 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138271513) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1894095 + ... + 1894167.

It is an arithmetic number, because the mean of its divisors is an integer number (5961310).

Almost surely, 2138271563 is an apocalyptic number.

138271563 is a deficient number, since it is larger than the sum of its proper divisors (76335597).

138271563 is an frugal number, since it uses more digits than its factorization.

138271563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 107 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 138271563 is about 11758.8929325851. The cubic root of 138271563 is about 517.1036747092.

The spelling of 138271563 in words is "one hundred thirty-eight million, two hundred seventy-one thousand, five hundred sixty-three".

Divisors: 1 3 9 27 31 73 93 219 279 657 837 961 1971 2263 2883 5329 6789 8649 15987 20367 25947 47961 61101 70153 143883 165199 210459 495597 631377 1486791 1894131 4460373 5121169 15363507 46090521 138271563