Search a number
-
+
165243023930880 = 2931057198219
BaseRepresentation
bin100101100100100110100011…
…101111100011011000000000
3210200002002010110020000000000
4211210212203233203120000
5133124320203111242010
61343235333000000000
746543262114314020
oct4544464357433000
9720062113200000
10165243023930880
114871919a150005
1216649256460000
1371284727a000c
142cb3b3b015a80
15141853c21e7c0
hex9649a3be3600

165243023930880 has 1760 divisors, whose sum is σ = 715023044524800. Its totient is φ = 35777594474496.

The previous prime is 165243023930867. The next prime is 165243023930977. The reversal of 165243023930880 is 88039320342561.

165243023930880 is a `hidden beast` number, since 1 + 6 + 5 + 24 + 3 + 0 + 239 + 308 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 20104999411 + ... + 20105007629.

It is an arithmetic number, because the mean of its divisors is an integer number (406263093480).

Almost surely, 2165243023930880 is an apocalyptic number.

165243023930880 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 165243023930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357511522262400).

165243023930880 is an abundant number, since it is smaller than the sum of its proper divisors (549780020593920).

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

165243023930880 is an frugal number, since it uses more digits than its factorization.

165243023930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 165243023930880 in words is "one hundred sixty-five trillion, two hundred forty-three billion, twenty-three million, nine hundred thirty thousand, eight hundred eighty".