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9121432320 = 28325721113113
BaseRepresentation
bin10000111111010111…
…00000001100000000
3212112200120202211200
420133223200030000
5122140041313240
64105035541200
7442015616100
oct103753401400
925480522750
109121432320
1139608a1120
1219268ba800
13b24989140
146275c5200
15385bb6930
hex21fae0300

9121432320 has 1296 divisors, whose sum is σ = 43511543712. Its totient is φ = 1734082560.

The previous prime is 9121432301. The next prime is 9121432337. The reversal of 9121432320 is 232341219.

It is a happy number.

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 143 ways as a sum of consecutive naturals, for example, 80720584 + ... + 80720696.

It is an arithmetic number, because the mean of its divisors is an integer number (33573722).

Almost surely, 29121432320 is an apocalyptic number.

9121432320 is a gapful number since it is divisible by the number (90) 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 9121432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21755771856).

9121432320 is an abundant number, since it is smaller than the sum of its proper divisors (34390111392).

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

9121432320 is a wasteful number, since it uses less digits than its factorization.

9121432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9121432320 is about 95506.1899564630. The cubic root of 9121432320 is about 2089.3972239711.

Adding to 9121432320 its reverse (232341219), we get a palindrome (9353773539).

The spelling of 9121432320 in words is "nine billion, one hundred twenty-one million, four hundred thirty-two thousand, three hundred twenty".