Search a number
-
+
108919022850000 = 24325511194312687
BaseRepresentation
bin11000110000111110101111…
…101010101000111111010000
3112021122120000222022220211100
4120300332233222220333100
5103234012124322200000
61023352412555544400
731641065631404226
oct3060765752507720
9467576028286740
10108919022850000
1131783330981a40
12102712a045b100
1348a103460435c
141cc79cd07cb16
15c8d378d11a00
hex630fafaa8fd0

108919022850000 has 1440 divisors, whose sum is σ = 438693841797120. Its totient is φ = 24947568000000.

The previous prime is 108919022849977. The next prime is 108919022850073. The reversal of 108919022850000 is 58220919801.

108919022850000 is a `hidden beast` number, since 108 + 9 + 19 + 0 + 2 + 28 + 500 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40535548657 + ... + 40535551343.

It is an arithmetic number, because the mean of its divisors is an integer number (304648501248).

Almost surely, 2108919022850000 is an apocalyptic number.

108919022850000 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 108919022850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219346920898560).

108919022850000 is an abundant number, since it is smaller than the sum of its proper divisors (329774818947120).

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

108919022850000 is a wasteful number, since it uses less digits than its factorization.

108919022850000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 108919022850000 in words is "one hundred eight trillion, nine hundred nineteen billion, twenty-two million, eight hundred fifty thousand".