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23286760000 = 2654721092
BaseRepresentation
bin10101101011111111…
…111100001001000000
32020002220010222100121
4111223333330021000
5340142402310000
614410420030024
71453032123400
oct255377741100
966086128317
1023286760000
11996a8504a9
12461a832314
13227160273a
1411aca16800
159145a5b1a
hex56bffc240

23286760000 has 315 divisors, whose sum is σ = 67793025069. Its totient is φ = 7910784000.

The previous prime is 23286759941. The next prime is 23286760001. The reversal of 23286760000 is 6768232.

The square root of 23286760000 is 152600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 13528481344 + 9758278656 = 116312^2 + 98784^2 .

It is not an unprimeable number, because it can be changed into a prime (23286760001) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 213639946 + ... + 213640054.

Almost surely, 223286760000 is an apocalyptic number.

23286760000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23286760000 is the 152600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23286760000

23286760000 is an abundant number, since it is smaller than the sum of its proper divisors (44506265069).

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

23286760000 is an frugal number, since it uses more digits than its factorization.

23286760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 23286760000 in words is "twenty-three billion, two hundred eighty-six million, seven hundred sixty thousand".