Search a number
-
+
23046337082880 = 2932529311112653
BaseRepresentation
bin1010011110101111001001…
…01111000011011000000000
310000121012121212010111001200
411033113210233003120000
511010042344243123010
6121003201402101200
74566020501003046
oct517274457033000
9100535555114050
1023046337082880
117385995514a31
12270264b7aa800
13cb234ca44877
1459963d1d8396
1529e74c5d0cc0
hex14f5e4bc3600

23046337082880 has 480 divisors, whose sum is σ = 85231788744960. Its totient is φ = 5742352465920.

The previous prime is 23046337082833. The next prime is 23046337082891. The reversal of 23046337082880 is 8828073364032.

23046337082880 is a `hidden beast` number, since 2 + 30 + 463 + 3 + 70 + 8 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×230463370828802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20156634 + ... + 21269286.

It is an arithmetic number, because the mean of its divisors is an integer number (177566226552).

Almost surely, 223046337082880 is an apocalyptic number.

23046337082880 is a gapful number since it is divisible by the number (20) 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 23046337082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42615894372480).

23046337082880 is an abundant number, since it is smaller than the sum of its proper divisors (62185451662080).

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

23046337082880 is a wasteful number, since it uses less digits than its factorization.

23046337082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112742 (or 1112723 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 23046337082880 in words is "twenty-three trillion, forty-six billion, three hundred thirty-seven million, eighty-two thousand, eight hundred eighty".