Search a number
-
+
118142849664 = 2732717861803
BaseRepresentation
bin110111000000111011…
…1001101001010000000
3102021221120121121011200
41232001313031022000
53413424032142124
6130135111141200
711351455436640
oct1560167151200
9367846547150
10118142849664
1146116616634
121aa91974800
13b1aa507448
145a0a834520
153116e0dbc9
hex1b81dcd280

118142849664 has 192 divisors, whose sum is σ = 411390757440. Its totient is φ = 31769468928.

The previous prime is 118142849659. The next prime is 118142849687. The reversal of 118142849664 is 466948241811.

118142849664 is a `hidden beast` number, since 1 + 1 + 8 + 142 + 8 + 496 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 118142849664.

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, 293814 + ... + 567989.

It is an arithmetic number, because the mean of its divisors is an integer number (2142660195).

Almost surely, 2118142849664 is an apocalyptic number.

118142849664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

118142849664 is an abundant number, since it is smaller than the sum of its proper divisors (293247907776).

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

118142849664 is a wasteful number, since it uses less digits than its factorization.

118142849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861847 (or 861832 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 118142849664 in words is "one hundred eighteen billion, one hundred forty-two million, eight hundred forty-nine thousand, six hundred sixty-four".