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9070313472 = 2173311233
BaseRepresentation
bin10000111001010001…
…00000000000000000
3212102010101122222000
420130220200000000
5122034000012342
64100012144000
7440525251413
oct103450400000
925363348860
109070313472
113934a56840
121911768000
13b171cb6bc
146208b9b7a
1538146a44c
hex21ca20000

9070313472 has 288 divisors, whose sum is σ = 29443901760. Its totient is φ = 2736783360.

The previous prime is 9070313431. The next prime is 9070313477. The reversal of 9070313472 is 2743130709.

9070313472 is a `hidden beast` number, since 90 + 70 + 31 + 3 + 472 = 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 not an unprimeable number, because it can be changed into a prime (9070313477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38928268 + ... + 38928500.

It is an arithmetic number, because the mean of its divisors is an integer number (102235770).

Almost surely, 29070313472 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 9070313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721950880).

9070313472 is an abundant number, since it is smaller than the sum of its proper divisors (20373588288).

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

9070313472 is an equidigital number, since it uses as much as digits as its factorization.

9070313472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 9070313472 is about 95238.1933469971. The cubic root of 9070313472 is about 2085.4867369410.

The spelling of 9070313472 in words is "nine billion, seventy million, three hundred thirteen thousand, four hundred seventy-two".