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23302768896 = 2832118910331
BaseRepresentation
bin10101101100111101…
…000000100100000000
32020011000021022102200
4111230331000210000
5340211002101041
614412151113200
71453315160511
oct255475004400
966130238380
1023302768896
1199788951a0
124624072800
132274a19364
1411b0bc2a08
15915bb91b6
hex56cf40900

23302768896 has 216 divisors, whose sum is σ = 74126314080. Its totient is φ = 6981427200.

The previous prime is 23302768889. The next prime is 23302768919. The reversal of 23302768896 is 69886720332.

It is a happy number.

It is a super-3 number, since 3×233027688963 (a number of 32 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2250451 + ... + 2260781.

It is an arithmetic number, because the mean of its divisors is an integer number (343177380).

Almost surely, 223302768896 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 23302768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37063157040).

23302768896 is an abundant number, since it is smaller than the sum of its proper divisors (50823545184).

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

23302768896 is a wasteful number, since it uses less digits than its factorization.

23302768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10453 (or 10436 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 23302768896 in words is "twenty-three billion, three hundred two million, seven hundred sixty-eight thousand, eight hundred ninety-six".