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9468112896 = 212331143181
BaseRepresentation
bin10001101000101011…
…11111000000000000
3220102211220222012000
420310111333000000
5123342314103041
64203302304000
7453425426454
oct106425770000
926384828160
109468112896
1140195593a0
121a02a28000
13b7b74c488
1465b66a664
153a6346bb6
hex23457f000

9468112896 has 416 divisors, whose sum is σ = 31484893440. Its totient is φ = 2786918400.

The previous prime is 9468112883. The next prime is 9468112897. The reversal of 9468112896 is 6982118649.

It is a super-2 number, since 2×94681128962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9468112897) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 52309926 + ... + 52310106.

It is an arithmetic number, because the mean of its divisors is an integer number (75684840).

Almost surely, 29468112896 is an apocalyptic number.

9468112896 is a gapful number since it is divisible by the number (96) 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 9468112896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15742446720).

9468112896 is an abundant number, since it is smaller than the sum of its proper divisors (22016780544).

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

9468112896 is a wasteful number, since it uses less digits than its factorization.

9468112896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 9468112896 is about 97304.2285617640. The cubic root of 9468112896 is about 2115.5395193202.

The spelling of 9468112896 in words is "nine billion, four hundred sixty-eight million, one hundred twelve thousand, eight hundred ninety-six".