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23249011968 = 283273133173
BaseRepresentation
bin10101101001101111…
…111100010100000000
32020000021010011210100
4111221233330110000
5340103221340333
614402551002400
71452063225000
oct255157742400
966007104710
1023249011968
119950508886
12460a069400
132266846c20
1411a79cc000
159110eb213
hex569bfc500

23249011968 has 864 divisors, whose sum is σ = 88091494400. Its totient is φ = 5852528640.

The previous prime is 23249011931. The next prime is 23249011969. The reversal of 23249011968 is 86911094232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23249011969) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 318479580 + ... + 318479652.

Almost surely, 223249011968 is an apocalyptic number.

23249011968 is a gapful number since it is divisible by the number (28) 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 23249011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44045747200).

23249011968 is an abundant number, since it is smaller than the sum of its proper divisors (64842482432).

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

23249011968 is a wasteful number, since it uses less digits than its factorization.

23249011968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 23249011968 in words is "twenty-three billion, two hundred forty-nine million, eleven thousand, nine hundred sixty-eight".