Search a number
-
+
23878361640960 = 2123851947199
BaseRepresentation
bin1010110110111100111010…
…10000110111000000000000
310010112202020002010100000000
411123132131100313000000
511112210341040002320
6122441322400000000
75013104030030451
oct533363520670000
9103482202110000
1023878361640960
117676835703152
122817953000000
13104294864b698
145c7a0c817128
152b61e7110c90
hex15b79d437000

23878361640960 has 1872 divisors, whose sum is σ = 92859990912000. Its totient is φ = 5874409930752.

The previous prime is 23878361640923. The next prime is 23878361640961. The reversal of 23878361640960 is 6904616387832.

23878361640960 is a `hidden beast` number, since 2 + 3 + 8 + 7 + 8 + 3 + 616 + 4 + 0 + 9 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23878361640961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119991766941 + ... + 119991767139.

It is an arithmetic number, because the mean of its divisors is an integer number (49604696000).

Almost surely, 223878361640960 is an apocalyptic number.

23878361640960 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 23878361640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46429995456000).

23878361640960 is an abundant number, since it is smaller than the sum of its proper divisors (68981629271040).

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

23878361640960 is an frugal number, since it uses more digits than its factorization.

23878361640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 23878361640960 in words is "twenty-three trillion, eight hundred seventy-eight billion, three hundred sixty-one million, six hundred forty thousand, nine hundred sixty".