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138275826192 = 2433745726133
BaseRepresentation
bin1000000011000111100…
…0011010101000010000
3111012220200100202221000
42000301320122220100
54231142102414232
6143304550502000
712663414062340
oct2006170325020
9435820322830
10138275826192
115370810a909
1222970364900
13100686005ca
14699a652d20
1538e469527c
hex2031e1aa10

138275826192 has 80 divisors (see below), whose sum is σ = 453603249280. Its totient is φ = 39507378048.

The previous prime is 138275826181. The next prime is 138275826211. The reversal of 138275826192 is 291628572831.

138275826192 is a `hidden beast` number, since 1 + 38 + 27 + 582 + 6 + 1 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22860043 + ... + 22866090.

It is an arithmetic number, because the mean of its divisors is an integer number (5670040616).

Almost surely, 2138275826192 is an apocalyptic number.

138275826192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138275826192 is an abundant number, since it is smaller than the sum of its proper divisors (315327423088).

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

138275826192 is a wasteful number, since it uses less digits than its factorization.

138275826192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45726157 (or 45726145 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 138275826192 in words is "one hundred thirty-eight billion, two hundred seventy-five million, eight hundred twenty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 45726133 91452266 137178399 182904532 274356798 320082931 365809064 411535197 548713596 640165862 731618128 823070394 960248793 1097427192 1234605591 1280331724 1646140788 1920497586 2194854384 2469211182 2560663448 2880746379 3292281576 3840995172 4938422364 5121326896 5761492758 6584563152 7681990344 8642239137 9876844728 11522985516 15363980688 17284478274 19753689456 23045971032 34568956548 46091942064 69137913096 138275826192