Search a number
-
+
118638051840 = 2933571122291
BaseRepresentation
bin110111001111101100…
…0010000001000000000
3102100020002102110212000
41232133120100020000
53420432320124330
6130300201104000
711366650542030
oct1563730201000
9370202373760
10118638051840
11463500a6330
121abab788000
13b258c9c799
145a564db8c0
15314562a560
hex1b9f610200

118638051840 has 640 divisors, whose sum is σ = 525420656640. Its totient is φ = 24650956800.

The previous prime is 118638051839. The next prime is 118638051871. The reversal of 118638051840 is 48150836811.

118638051840 is a `hidden beast` number, since 1 + 1 + 8 + 638 + 0 + 5 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5311095 + ... + 5333385.

It is an arithmetic number, because the mean of its divisors is an integer number (820969776).

Almost surely, 2118638051840 is an apocalyptic number.

118638051840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118638051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262710328320).

118638051840 is an abundant number, since it is smaller than the sum of its proper divisors (406782604800).

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

118638051840 is a wasteful number, since it uses less digits than its factorization.

118638051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22341 (or 22319 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 118638051840 in words is "one hundred eighteen billion, six hundred thirty-eight million, fifty-one thousand, eight hundred forty".