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9932383296 = 263411237573
BaseRepresentation
bin10010100000000010…
…00010010001000000
3221122012112100110000
421100001002101000
5130320142231141
64321325240000
7501063602463
oct112001022100
927565470400
109932383296
114237631640
121b12403000
13c239a46a4
146a31a12da
153d1ea35b6
hex250042440

9932383296 has 280 divisors, whose sum is σ = 33520221504. Its totient is φ = 2878571520.

The previous prime is 9932383259. The next prime is 9932383303. The reversal of 9932383296 is 6923832399.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1307766 + ... + 1315338.

Almost surely, 29932383296 is an apocalyptic number.

9932383296 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 9932383296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760110752).

9932383296 is an abundant number, since it is smaller than the sum of its proper divisors (23587838208).

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

9932383296 is a wasteful number, since it uses less digits than its factorization.

9932383296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631 (or 7612 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 9932383296 is about 99661.3430373081. The cubic root of 9932383296 is about 2149.5678450689.

The spelling of 9932383296 in words is "nine billion, nine hundred thirty-two million, three hundred eighty-three thousand, two hundred ninety-six".