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138764683860 = 223511210249521
BaseRepresentation
bin1000000100111100000…
…1010000101001010100
3111021011202020022120120
42001033001100221110
54233142224340420
6143425252431540
713011501231345
oct2011701205124
9437152208516
10138764683860
1153939056910
1222a880185b0
1310115983bba
146a055480cc
15392255bd40
hex204f050a54

138764683860 has 48 divisors (see below), whose sum is σ = 423863036352. Its totient is φ = 33639923200.

The previous prime is 138764683859. The next prime is 138764683873. The reversal of 138764683860 is 68386467831.

138764683860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 138764683794 and 138764683803.

It is a congruent number.

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, 105124101 + ... + 105125420.

It is an arithmetic number, because the mean of its divisors is an integer number (8830479924).

Almost surely, 2138764683860 is an apocalyptic number.

138764683860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138764683860 is an abundant number, since it is smaller than the sum of its proper divisors (285098352492).

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

138764683860 is a wasteful number, since it uses less digits than its factorization.

138764683860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210249544 (or 210249542 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 138764683860 in words is "one hundred thirty-eight billion, seven hundred sixty-four million, six hundred eighty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 210249521 420499042 630748563 840998084 1051247605 1261497126 2102495210 2312744731 2522994252 3153742815 4204990420 4625489462 6307485630 6938234193 9250978924 11563723655 12614971260 13876468386 23127447310 27752936772 34691170965 46254894620 69382341930 138764683860