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138511366020 = 223254211827809
BaseRepresentation
bin1000000011111111101…
…0111011011110000100
3111020112002120102211100
42000333322323132010
54232132402203040
6143344203140100
713002304120356
oct2007772733604
9436462512740
10138511366020
1153819067425
1222a17214630
13100a534c2a1
1469bda470d6
15390a1beb30
hex203febb784

138511366020 has 72 divisors (see below), whose sum is σ = 421149357720. Its totient is φ = 36848609280.

The previous prime is 138511366003. The next prime is 138511366031. The reversal of 138511366020 is 20663115831.

138511366020 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 11 + 36 + 602 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 898560576 + 137612805444 = 29976^2 + 370962^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838125 + ... + 989684.

It is an arithmetic number, because the mean of its divisors is an integer number (5849296635).

Almost surely, 2138511366020 is an apocalyptic number.

138511366020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138511366020 is an abundant number, since it is smaller than the sum of its proper divisors (282637991700).

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

138511366020 is a wasteful number, since it uses less digits than its factorization.

138511366020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828245 (or 1828240 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 138511366020 in words is "one hundred thirty-eight billion, five hundred eleven million, three hundred sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 421 842 1263 1684 2105 2526 3789 4210 5052 6315 7578 8420 12630 15156 18945 25260 37890 75780 1827809 3655618 5483427 7311236 9139045 10966854 16450281 18278090 21933708 27417135 32900562 36556180 54834270 65801124 82251405 109668540 164502810 329005620 769507589 1539015178 2308522767 3078030356 3847537945 4617045534 6925568301 7695075890 9234091068 11542613835 13851136602 15390151780 23085227670 27702273204 34627841505 46170455340 69255683010 138511366020