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138767212521 = 3272314664881
BaseRepresentation
bin1000000100111100101…
…0111001111111101001
3111021011220222210020200
42001033022321333221
54233143401300041
6143425422542413
713011531562500
oct2011712717751
9437156883220
10138767212521
115393a523713
1222a88a37a09
131011635ab52
146a05a05837
1539228ab1b6
hex204f2b9fe9

138767212521 has 18 divisors (see below), whose sum is σ = 233166677562. Its totient is φ = 79295549760.

The previous prime is 138767212513. The next prime is 138767212547. The reversal of 138767212521 is 125212767831.

138767212521 is a `hidden beast` number, since 1 + 38 + 76 + 7 + 21 + 2 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96335744400 + 42431468121 = 310380^2 + 205989^2 .

It is not a de Polignac number, because 138767212521 - 23 = 138767212513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138767212561) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 157332000 + ... + 157332881.

It is an arithmetic number, because the mean of its divisors is an integer number (12953704309).

Almost surely, 2138767212521 is an apocalyptic number.

It is an amenable number.

138767212521 is a deficient number, since it is larger than the sum of its proper divisors (94399465041).

138767212521 is a wasteful number, since it uses less digits than its factorization.

138767212521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314664901 (or 314664891 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 138767212521 in words is "one hundred thirty-eight billion, seven hundred sixty-seven million, two hundred twelve thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 314664881 943994643 2202654167 2831983929 6607962501 15418579169 19823887503 46255737507 138767212521