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23130484416 = 2634131512273
BaseRepresentation
bin10101100010101011…
…110010111011000000
32012201000002100120000
4111202223302323000
5334332401000131
614343114320000
71446123605424
oct254253627300
965630070500
1023130484416
11989a612326
124596429000
132248117290
141195d76b84
159059d6ce6
hex562af2ec0

23130484416 has 280 divisors, whose sum is σ = 74362019424. Its totient is φ = 7066828800.

The previous prime is 23130484379. The next prime is 23130484459. The reversal of 23130484416 is 61448403132.

23130484416 is a `hidden beast` number, since 2 + 3 + 130 + 484 + 41 + 6 = 666.

It is a super-2 number, since 2×231304844162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10175056 + ... + 10177328.

Almost surely, 223130484416 is an apocalyptic number.

23130484416 is a gapful number since it is divisible by the number (26) 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 23130484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37181009712).

23130484416 is an abundant number, since it is smaller than the sum of its proper divisors (51231535008).

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

23130484416 is a wasteful number, since it uses less digits than its factorization.

23130484416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 23130484416 its reverse (61448403132), we get a palindrome (84578887548).

The spelling of 23130484416 in words is "twenty-three billion, one hundred thirty million, four hundred eighty-four thousand, four hundred sixteen".