Search a number
-
+
23128385280 = 2835711213547
BaseRepresentation
bin10101100010100011…
…110010011100000000
32012200212010201002020
4111202203302130000
5334331331312110
614343001321440
71446100013460
oct254243623400
965625121066
1023128385280
119899409200
124595796280
1322478609a0
14119598bba0
1590571ed70
hex5628f2700

23128385280 has 864 divisors, whose sum is σ = 100111130112. Its totient is φ = 4428103680.

The previous prime is 23128385251. The next prime is 23128385353. The reversal of 23128385280 is 8258382132.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42281967 + ... + 42282513.

Almost surely, 223128385280 is an apocalyptic number.

23128385280 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 23128385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50055565056).

23128385280 is an abundant number, since it is smaller than the sum of its proper divisors (76982744832).

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

23128385280 is a wasteful number, since it uses less digits than its factorization.

23128385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 23128385280 in words is "twenty-three billion, one hundred twenty-eight million, three hundred eighty-five thousand, two hundred eighty".