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9332921664 = 2632112177877
BaseRepresentation
bin10001011000100100…
…10001010101000000
3220002102112112200100
420230102101111000
5123103211443124
64142032522400
7450164345103
oct105422212500
926072475610
109332921664
113a5a211200
1219856b0400
13b59736b71
1464771873a
153995401c9
hex22c491540

9332921664 has 252 divisors, whose sum is σ = 31137747732. Its totient is φ = 2661457920.

The previous prime is 9332921641. The next prime is 9332921683. The reversal of 9332921664 is 4661292339.

It can be written as a sum of positive squares in 2 ways, for example, as 4252083264 + 5080838400 = 65208^2 + 71280^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1180894 + ... + 1188770.

It is an arithmetic number, because the mean of its divisors is an integer number (123562491).

Almost surely, 29332921664 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 9332921664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15568873866).

9332921664 is an abundant number, since it is smaller than the sum of its proper divisors (21804826068).

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

9332921664 is a wasteful number, since it uses less digits than its factorization.

9332921664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934 (or 7910 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 9332921664 is about 96607.0476932196. The cubic root of 9332921664 is about 2105.4222433881.

The spelling of 9332921664 in words is "nine billion, three hundred thirty-two million, nine hundred twenty-one thousand, six hundred sixty-four".