Search a number
-
+
163873082880 = 2934513313753
BaseRepresentation
bin1001100010011110011…
…0001100111000000000
3120122222121010010220000
42120213212030320000
510141103002123010
6203140544520000
714560633136013
oct2304746147000
9518877103800
10163873082880
11635530a0701
1227914920000
13125b77b1b40
147d0806b37a
1543e19e27c0
hex262798ce00

163873082880 has 1600 divisors, whose sum is σ = 682759300608. Its totient is φ = 37265080320.

The previous prime is 163873082837. The next prime is 163873082909. The reversal of 163873082880 is 88280378361.

163873082880 is a `hidden beast` number, since 163 + 87 + 308 + 28 + 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 159 ways as a sum of consecutive naturals, for example, 3091944934 + ... + 3091944986.

Almost surely, 2163873082880 is an apocalyptic number.

163873082880 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 163873082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341379650304).

163873082880 is an abundant number, since it is smaller than the sum of its proper divisors (518886217728).

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

163873082880 is a wasteful number, since it uses less digits than its factorization.

163873082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 163873082880 in words is "one hundred sixty-three billion, eight hundred seventy-three million, eighty-two thousand, eight hundred eighty".