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23143228416 = 2103372111553
BaseRepresentation
bin10101100011011100…
…011010010000000000
32012201220001211001000
4111203130122100000
5334344131302131
614344251412000
71446340124100
oct254334322000
965656054030
1023143228416
1198a6827060
12459a754000
13224a959ac9
141197933200
15906ba2ce6
hex56371a400

23143228416 has 528 divisors, whose sum is σ = 87033199680. Its totient is φ = 6007357440.

The previous prime is 23143228379. The next prime is 23143228421. The reversal of 23143228416 is 61482234132.

23143228416 is a `hidden beast` number, since 2 + 3 + 14 + 3 + 228 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14901496 + ... + 14903048.

Almost surely, 223143228416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23143228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43516599840).

23143228416 is an abundant number, since it is smaller than the sum of its proper divisors (63889971264).

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

23143228416 is a wasteful number, since it uses less digits than its factorization.

23143228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1576 counting only the distinct ones).

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

The spelling of 23143228416 in words is "twenty-three billion, one hundred forty-three million, two hundred twenty-eight thousand, four hundred sixteen".