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138238239252 = 2234121126311
BaseRepresentation
bin1000000010111110100…
…1000010001000010100
3111012211001122011100010
42000233221002020110
54231102442124002
6143301125120220
712662446434411
oct2005751021024
9435731564303
10138238239252
1153698978223
122295b859070
13100608a0209
14699566b108
1538e121d46c
hex202fa42214

138238239252 has 72 divisors (see below), whose sum is σ = 332049122496. Its totient is φ = 44735376000.

The previous prime is 138238239247. The next prime is 138238239253. The reversal of 138238239252 is 252932832831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138238239253) 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 23 ways as a sum of consecutive naturals, for example, 21901177 + ... + 21907487.

It is an arithmetic number, because the mean of its divisors is an integer number (4611793368).

Almost surely, 2138238239252 is an apocalyptic number.

138238239252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138238239252 is an abundant number, since it is smaller than the sum of its proper divisors (193810883244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138238239252 is a wasteful number, since it uses less digits than its factorization.

138238239252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6781 (or 6568 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 138238239252 in words is "one hundred thirty-eight billion, two hundred thirty-eight million, two hundred thirty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 41 82 123 164 211 246 422 492 633 844 1266 2532 6311 8651 12622 17302 18933 25244 25953 34604 37866 44521 51906 75732 89042 103812 133563 178084 258751 267126 517502 534252 776253 1035004 1331621 1552506 1825361 2663242 3105012 3650722 3994863 5326484 5476083 7301444 7989726 10952166 15979452 21904332 54596461 109192922 163789383 218385844 280972031 327578766 561944062 655157532 842916093 1123888124 1685832186 3371664372 11519853271 23039706542 34559559813 46079413084 69119119626 138238239252