Search a number
-
+
23624623104 = 2103171929821
BaseRepresentation
bin10110000000001000…
…110010010000000000
32020222102220012101220
4112000020302100000
5341340400414404
614504125355040
71464303661125
oct260010622000
966872805356
1023624623104
11a023536005
1246b3a08a80
1322c65c9534
14120184474c
159340934d9
hex580232400

23624623104 has 352 divisors, whose sum is σ = 72689788800. Its totient is φ = 6771179520.

The previous prime is 23624623081. The next prime is 23624623147. The reversal of 23624623104 is 40132642632.

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, 28775014 + ... + 28775834.

Almost surely, 223624623104 is an apocalyptic number.

23624623104 is a gapful number since it is divisible by the number (24) 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 23624623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36344894400).

23624623104 is an abundant number, since it is smaller than the sum of its proper divisors (49065165696).

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

23624623104 is a wasteful number, since it uses less digits than its factorization.

23624623104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 23624623104 in words is "twenty-three billion, six hundred twenty-four million, six hundred twenty-three thousand, one hundred four".