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138838631060 = 225231812696199
BaseRepresentation
bin1000000101001101101…
…1010110001010010100
3111021100220101020001202
42001103123112022110
54233320142143220
6143440453412032
713013356615013
oct2012333261224
9437326336052
10138838631060
11539768734a8
1222aa893a018
13101280a523c
146a112b6a7a
153928cb7275
hex20536d6294

138838631060 has 96 divisors (see below), whose sum is σ = 307105344000. Its totient is φ = 52622507520.

The previous prime is 138838631059. The next prime is 138838631123. The reversal of 138838631060 is 60136838831.

It is a happy number.

It is a super-2 number, since 2×1388386310602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138838630996 and 138838631014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22393841 + ... + 22400039.

It is an arithmetic number, because the mean of its divisors is an integer number (3199014000).

Almost surely, 2138838631060 is an apocalyptic number.

138838631060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138838631060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672000).

138838631060 is an abundant number, since it is smaller than the sum of its proper divisors (168266712940).

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

138838631060 is a wasteful number, since it uses less digits than its factorization.

138838631060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681 (or 6679 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 138838631060 in words is "one hundred thirty-eight billion, eight hundred thirty-eight million, six hundred thirty-one thousand, sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 181 230 269 362 460 538 724 905 1076 1345 1810 2690 3620 4163 5380 6187 6199 8326 12374 12398 16652 20815 24748 24796 30935 30995 41630 48689 61870 61990 83260 97378 123740 123980 142577 194756 243445 285154 486890 570308 712885 973780 1119847 1122019 1425770 1667531 2239694 2244038 2851540 3335062 4479388 4488076 5599235 5610095 6670124 8337655 11198470 11220190 16675310 22396940 22440380 25806437 33350620 38353213 51612874 76706426 103225748 129032185 153412852 191766065 258064370 301823111 383532130 516128740 603646222 767064260 1207292444 1509115555 3018231110 6036462220 6941931553 13883863106 27767726212 34709657765 69419315530 138838631060