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23034441312 = 2533174761547
BaseRepresentation
bin10101011100111101…
…011010111001100000
32012110022100212012000
4111130331122321200
5334133304110222
614325404004000
71443546343401
oct253475327140
965408325160
1023034441312
119850383763
12456a230600
13223125a83c
1411872d59a8
158ec3649ac
hex55cf5ae60

23034441312 has 384 divisors, whose sum is σ = 73975265280. Its totient is φ = 6944071680.

The previous prime is 23034441307. The next prime is 23034441343. The reversal of 23034441312 is 21314443032.

23034441312 is a `hidden beast` number, since 2 + 3 + 0 + 344 + 4 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42110223 + ... + 42110769.

It is an arithmetic number, because the mean of its divisors is an integer number (192643920).

Almost surely, 223034441312 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 23034441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36987632640).

23034441312 is an abundant number, since it is smaller than the sum of its proper divisors (50940823968).

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

23034441312 is a wasteful number, since it uses less digits than its factorization.

23034441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23034441312 its reverse (21314443032), we get a palindrome (44348884344).

The spelling of 23034441312 in words is "twenty-three billion, thirty-four million, four hundred forty-one thousand, three hundred twelve".