Search a number
-
+
23966423040 = 211357591889
BaseRepresentation
bin10110010100100000…
…101001100000000000
32021212021001102202210
4112110200221200000
5343040401014130
615002055342120
71505624143320
oct262440514000
967767042683
1023966423040
11a18946a39a
12478a381940
13234c371211
141234db9280
159540ac5b0
hex594829800

23966423040 has 384 divisors, whose sum is σ = 89159616000. Its totient is φ = 5382340608.

The previous prime is 23966423021. The next prime is 23966423083. The reversal of 23966423040 is 4032466932.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 23966423040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12686416 + ... + 12688304.

It is an arithmetic number, because the mean of its divisors is an integer number (232186500).

Almost surely, 223966423040 is an apocalyptic number.

23966423040 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 23966423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579808000).

23966423040 is an abundant number, since it is smaller than the sum of its proper divisors (65193192960).

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

23966423040 is a wasteful number, since it uses less digits than its factorization.

23966423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

Adding to 23966423040 its reverse (4032466932), we get a palindrome (27998889972).

The spelling of 23966423040 in words is "twenty-three billion, nine hundred sixty-six million, four hundred twenty-three thousand, forty".