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138188876382 = 232107157457001
BaseRepresentation
bin1000000010110010110…
…0101110101001011110
3111012200121202021012200
42000230230232221132
54231002323021012
6143252203112330
712661310032344
oct2005454565136
9435617667180
10138188876382
1153673022167
12229472126a6
13100535a8b0b
14698cc9b994
1538dbc1c3dc
hex202cb2ea5e

138188876382 has 48 divisors (see below), whose sum is σ = 304133002992. Its totient is φ = 45341712000.

The previous prime is 138188876377. The next prime is 138188876387. The reversal of 138188876382 is 283678881831.

138188876382 is a `hidden beast` number, since 1 + 3 + 8 + 188 + 8 + 76 + 382 = 666.

138188876382 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138188876377) and next prime (138188876387).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138188876387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73882 + ... + 530882.

It is an arithmetic number, because the mean of its divisors is an integer number (6336104229).

Almost surely, 2138188876382 is an apocalyptic number.

138188876382 is an abundant number, since it is smaller than the sum of its proper divisors (165944126610).

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

138188876382 is a wasteful number, since it uses less digits than its factorization.

138188876382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457273 (or 457270 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The spelling of 138188876382 in words is "one hundred thirty-eight billion, one hundred eighty-eight million, eight hundred seventy-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 107 157 214 314 321 471 642 942 963 1413 1926 2826 16799 33598 50397 100794 151191 302382 457001 914002 1371003 2742006 4113009 8226018 48899107 71749157 97798214 143498314 146697321 215247471 293394642 430494942 440091963 645742413 880183926 1291484826 7677159799 15354319598 23031479397 46062958794 69094438191 138188876382