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23145044560 = 24511219612063
BaseRepresentation
bin10101100011100011…
…010101101001010000
32012202000111002022121
4111203203111221100
5334400112411220
614344354344024
71446361430011
oct254343255120
965660432277
1023145044560
1198a7857600
12459b28b014
13224b144651
141197c87008
15906e10eaa
hex5638d5a50

23145044560 has 240 divisors, whose sum is σ = 63313447680. Its totient is φ = 7838899200.

The previous prime is 23145044551. The next prime is 23145044561. The reversal of 23145044560 is 6544054132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23145044561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11218089 + ... + 11220151.

It is an arithmetic number, because the mean of its divisors is an integer number (263806032).

Almost surely, 223145044560 is an apocalyptic number.

23145044560 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 23145044560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31656723840).

23145044560 is an abundant number, since it is smaller than the sum of its proper divisors (40168403120).

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

23145044560 is a wasteful number, since it uses less digits than its factorization.

23145044560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 23145044560 its reverse (6544054132), we get a palindrome (29689098692).

The spelling of 23145044560 in words is "twenty-three billion, one hundred forty-five million, forty-four thousand, five hundred sixty".