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23470524864 = 2632831992467
BaseRepresentation
bin10101110110111100…
…111100100111000000
32020120200221012100200
4111312330330213000
5341031423243424
614440542445200
71460423112123
oct256674744700
966520835320
1023470524864
119a54554796
124670293800
1322a06c4147
1411c91b03ba
159257a48c9
hex576f3c9c0

23470524864 has 168 divisors, whose sum is σ = 68454422400. Its totient is φ = 7687291392.

The previous prime is 23470524859. The next prime is 23470524881. The reversal of 23470524864 is 46842507432.

It is a happy number.

23470524864 is a `hidden beast` number, since 2 + 3 + 47 + 0 + 524 + 86 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 9512559 + ... + 9515025.

It is an arithmetic number, because the mean of its divisors is an integer number (407466800).

Almost surely, 223470524864 is an apocalyptic number.

23470524864 is a gapful number since it is divisible by the number (24) 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 23470524864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34227211200).

23470524864 is an abundant number, since it is smaller than the sum of its proper divisors (44983897536).

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

23470524864 is a wasteful number, since it uses less digits than its factorization.

23470524864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 23470524864 in words is "twenty-three billion, four hundred seventy million, five hundred twenty-four thousand, eight hundred sixty-four".