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9130326371712 = 27327131931672207
BaseRepresentation
bin1000010011011101000111…
…0111000010110110000000
31012022211222010212110210100
42010313101313002312000
52144042402022343322
631230225233002400
71631433666436530
oct204672167026600
935284863773710
109130326371712
112a00171234147
1210356279b3400
13512ca8566980
14237ca566b4c0
1510c77a00cdac
hex84dd1dc2d80

9130326371712 has 1536 divisors, whose sum is σ = 35677097164800. Its totient is φ = 2173736632320.

The previous prime is 9130326371623. The next prime is 9130326371713. The reversal of 9130326371712 is 2171736230319.

9130326371712 is a `hidden beast` number, since 9 + 1 + 3 + 0 + 3 + 2 + 637 + 1 + 7 + 1 + 2 = 666.

It is a super-2 number, since 2×91303263717122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9130326371713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4136984113 + ... + 4136986319.

It is an arithmetic number, because the mean of its divisors is an integer number (23227276800).

Almost surely, 29130326371712 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 9130326371712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17838548582400).

9130326371712 is an abundant number, since it is smaller than the sum of its proper divisors (26546770793088).

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

9130326371712 is a wasteful number, since it uses less digits than its factorization.

9130326371712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 9130326371712 in words is "nine trillion, one hundred thirty billion, three hundred twenty-six million, three hundred seventy-one thousand, seven hundred twelve".