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9427326289920 = 2113757211271
BaseRepresentation
bin1000100100101111100001…
…1011110100100000000000
31020101020120120121120000000
42021023320123310200000
52213424131012234140
632014504240000000
71662046635206100
oct211137033644000
936336516546000
109427326289920
113005119a14600
1210830b4600000
13534cba982a46
142483dc185200
1511535e10da30
hex892f86f4800

9427326289920 has 3456 divisors, whose sum is σ = 43988382547200. Its totient is φ = 1931334451200.

The previous prime is 9427326289903. The next prime is 9427326289921. The reversal of 9427326289920 is 299826237249.

9427326289920 is a `hidden beast` number, since 9 + 4 + 2 + 7 + 326 + 289 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9427326289921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 132779243485 + ... + 132779243555.

It is an arithmetic number, because the mean of its divisors is an integer number (12728119950).

Almost surely, 29427326289920 is an apocalyptic number.

9427326289920 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 9427326289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21994191273600).

9427326289920 is an abundant number, since it is smaller than the sum of its proper divisors (34561056257280).

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

9427326289920 is an equidigital number, since it uses as much as digits as its factorization.

9427326289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 9427326289920 in words is "nine trillion, four hundred twenty-seven billion, three hundred twenty-six million, two hundred eighty-nine thousand, nine hundred twenty".