Search a number
-
+
18381929192010 = 2325511339945953
BaseRepresentation
bin1000010110111111000000…
…10111000001101001001010
32102002021222020202212100200
410023133200113001221022
54402132142333121020
6103032313001113030
73605023225052256
oct413374027015112
972067866685320
1018381929192010
1159478068a409a
12208a65aa88776
13a34540597c07
14477993991266
1521d2520ad590
hex10b7e05c1a4a

18381929192010 has 48 divisors (see below), whose sum is σ = 47802364448904. Its totient is φ = 4900888958976.

The previous prime is 18381929191991. The next prime is 18381929192059. The reversal of 18381929192010 is 1029192918381.

It is a happy number.

18381929192010 is a `hidden beast` number, since 1 + 8 + 381 + 92 + 91 + 92 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7096784112441 + 11285145079569 = 2663979^2 + 3359337^2 .

It is a super-2 number, since 2×183819291920102 (a number of 27 digits) contains 22 as substring.

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, 19512807 + ... + 20433146.

Almost surely, 218381929192010 is an apocalyptic number.

18381929192010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18381929192010 is an abundant number, since it is smaller than the sum of its proper divisors (29420435256894).

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

18381929192010 is a wasteful number, since it uses less digits than its factorization.

18381929192010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39951079 (or 39951076 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 18381929192010 in words is "eighteen trillion, three hundred eighty-one billion, nine hundred twenty-nine million, one hundred ninety-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 5113 10226 15339 25565 30678 46017 51130 76695 92034 153390 230085 460170 39945953 79891906 119837859 199729765 239675718 359513577 399459530 599189295 719027154 1198378590 1797567885 3595135770 204243657689 408487315378 612730973067 1021218288445 1225461946134 1838192919201 2042436576890 3063654865335 3676385838402 6127309730670 9190964596005 18381929192010