Search a number
-
+
23890204800 = 273652721119
BaseRepresentation
bin10110001111111101…
…111001100010000000
32021122221122011000000
4112033331321202000
5342411343023200
614550334000000
71504010250600
oct261775714200
967587564000
1023890204800
11a14a441510
124768946000
132339636277
141228c18c00
1594c554300
hex58ff79880

23890204800 has 2016 divisors, whose sum is σ = 118197457200. Its totient is φ = 4702924800.

The previous prime is 23890204783. The next prime is 23890204847. The reversal of 23890204800 is 840209832.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1257379191 + ... + 1257379209.

Almost surely, 223890204800 is an apocalyptic number.

23890204800 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 23890204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59098728600).

23890204800 is an abundant number, since it is smaller than the sum of its proper divisors (94307252400).

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

23890204800 is a wasteful number, since it uses less digits than its factorization.

23890204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 23890204800 in words is "twenty-three billion, eight hundred ninety million, two hundred four thousand, eight hundred".