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138171268020 = 223519911572133
BaseRepresentation
bin1000000010101110100…
…1100011101110110100
3111012122101121200002010
42000223221203232310
54230433321034040
6143250333444220
712661004254122
oct2005351435664
9435571550063
10138171268020
11536640957a5
1222941340670
131004ca52176
14698a7d6912
1538da3dee80
hex202ba63bb4

138171268020 has 48 divisors (see below), whose sum is σ = 388823702400. Its totient is φ = 36660514176.

The previous prime is 138171268003. The next prime is 138171268031. The reversal of 138171268020 is 20862171831.

It is a self number, because there is not a number n which added to its sum of digits gives 138171268020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5774127 + ... + 5798006.

It is an arithmetic number, because the mean of its divisors is an integer number (8100493800).

Almost surely, 2138171268020 is an apocalyptic number.

138171268020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138171268020 is an abundant number, since it is smaller than the sum of its proper divisors (250652434380).

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

138171268020 is a wasteful number, since it uses less digits than its factorization.

138171268020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11572344 (or 11572342 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 138171268020 in words is "one hundred thirty-eight billion, one hundred seventy-one million, two hundred sixty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 398 597 796 995 1194 1990 2388 2985 3980 5970 11940 11572133 23144266 34716399 46288532 57860665 69432798 115721330 138865596 173581995 231442660 347163990 694327980 2302854467 4605708934 6908563401 9211417868 11514272335 13817126802 23028544670 27634253604 34542817005 46057089340 69085634010 138171268020