Search a number
-
+
18132195053196 = 2234722834035737
BaseRepresentation
bin1000001111101101110110…
…00010111000111010001100
32101012102100211221011020000
410013312323002320322030
54334034213413200241
6102321452043524300
73551002460645100
oct407667302707214
971172324834200
1018132195053196
115860903447334
12204a183529690
13a16b21613043
144698625c7900
152169d77aceb6
hex107dbb0b8e8c

18132195053196 has 180 divisors, whose sum is σ = 55334956152168. Its totient is φ = 5162319775872.

The previous prime is 18132195053191. The next prime is 18132195053233. The reversal of 18132195053196 is 69135059123181.

It is a happy number.

18132195053196 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 2 + 19 + 5 + 0 + 531 + 96 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18132195053191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2475040 + ... + 6510776.

Almost surely, 218132195053196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18132195053196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27667478076084).

18132195053196 is an abundant number, since it is smaller than the sum of its proper divisors (37202761098972).

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

18132195053196 is a wasteful number, since it uses less digits than its factorization.

18132195053196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036050 (or 4036032 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 18132195053196 in words is "eighteen trillion, one hundred thirty-two billion, one hundred ninety-five million, fifty-three thousand, one hundred ninety-six".