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9265432320 = 283351272111
BaseRepresentation
bin10001010000100001…
…10100011100000000
3212220201112201201000
420220100310130000
5122433422313240
64131222212000
7445414606134
oct105020643400
925821481630
109265432320
113a25105491
121966b84000
13b48767041
1463c78b3c4
1539365d430
hex228434700

9265432320 has 288 divisors, whose sum is σ = 33154007040. Its totient is φ = 2450165760.

The previous prime is 9265432283. The next prime is 9265432331. The reversal of 9265432320 is 232345629.

It is a happy number.

9265432320 is a `hidden beast` number, since 92 + 6 + 543 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4388065 + ... + 4390175.

It is an arithmetic number, because the mean of its divisors is an integer number (115118080).

Almost surely, 29265432320 is an apocalyptic number.

9265432320 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 9265432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16577003520).

9265432320 is an abundant number, since it is smaller than the sum of its proper divisors (23888574720).

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

9265432320 is a wasteful number, since it uses less digits than its factorization.

9265432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 9265432320 is about 96257.1156850235. The cubic root of 9265432320 is about 2100.3349669754.

Adding to 9265432320 its reverse (232345629), we get a palindrome (9497777949).

The spelling of 9265432320 in words is "nine billion, two hundred sixty-five million, four hundred thirty-two thousand, three hundred twenty".