Search a number
-
+
23458664320 = 275713596827
BaseRepresentation
bin10101110110001111…
…101100111110000000
32020112212121121202021
4111312033230332000
5341020404224240
614435440331224
71460220233230
oct256617547600
966485547667
1023458664320
119a48893793
124668313b14
13229b100780
1411c77a3cc0
1592471054a
hex5763ecf80

23458664320 has 256 divisors, whose sum is σ = 70202764800. Its totient is φ = 7297376256.

The previous prime is 23458664237. The next prime is 23458664323. The reversal of 23458664320 is 2346685432.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23458664323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3432747 + ... + 3439573.

It is an arithmetic number, because the mean of its divisors is an integer number (274229550).

Almost surely, 223458664320 is an apocalyptic number.

23458664320 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 23458664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35101382400).

23458664320 is an abundant number, since it is smaller than the sum of its proper divisors (46744100480).

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

23458664320 is a wasteful number, since it uses less digits than its factorization.

23458664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925 (or 6913 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 23458664320 in words is "twenty-three billion, four hundred fifty-eight million, six hundred sixty-four thousand, three hundred twenty".