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138786289830 = 232519683118831
BaseRepresentation
bin1000000101000001001…
…1101011100010100110
3111021020020220000101200
42001100103223202212
54233213242233310
6143431343503330
713012152666456
oct2012023534246
9437206800350
10138786289830
115394a273791
1222a932b7b46
131011a2aa2b6
146a0836dd66
1539243c89c0
hex20504eb8a6

138786289830 has 96 divisors (see below), whose sum is σ = 380395491840. Its totient is φ = 35010169920.

The previous prime is 138786289777. The next prime is 138786289843. The reversal of 138786289830 is 38982687831.

It is a super-2 number, since 2×1387862898302 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1108515 + ... + 1227345.

It is an arithmetic number, because the mean of its divisors is an integer number (3962453040).

Almost surely, 2138786289830 is an apocalyptic number.

138786289830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138786289830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190197745920).

138786289830 is an abundant number, since it is smaller than the sum of its proper divisors (241609202010).

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

138786289830 is a wasteful number, since it uses less digits than its factorization.

138786289830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119546 (or 119543 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 138786289830 in words is "one hundred thirty-eight billion, seven hundred eighty-six million, two hundred eighty-nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 683 855 1366 1710 2049 3415 4098 6147 6830 10245 12294 12977 20490 25954 30735 38931 61470 64885 77862 116793 118831 129770 194655 233586 237662 356493 389310 583965 594155 712986 1069479 1167930 1188310 1782465 2138958 2257789 3564930 4515578 5347395 6773367 10694790 11288945 13546734 20320101 22577890 33866835 40640202 67733670 81161573 101600505 162323146 203201010 243484719 405807865 486969438 730454157 811615730 1217423595 1460908314 1542069887 2434847190 3084139774 3652270785 4626209661 7304541570 7710349435 9252419322 13878628983 15420698870 23131048305 27757257966 46262096610 69393144915 138786289830