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9067976064 = 27327353433
BaseRepresentation
bin10000111000111111…
…00101010110000000
3212101221222220122100
420130133211112000
5122032400213224
64055450110400
7440466345000
oct103437452600
925357886570
109067976064
1139336aa6a4
121910a1b400
13b16890814
1462046c000
15381157ac9
hex21c7e5580

9067976064 has 384 divisors, whose sum is σ = 31076136000. Its totient is φ = 2536095744.

The previous prime is 9067976063. The next prime is 9067976077. The reversal of 9067976064 is 4606797609.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 9067976064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9067976063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20941992 + ... + 20942424.

Almost surely, 29067976064 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 9067976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15538068000).

9067976064 is an abundant number, since it is smaller than the sum of its proper divisors (22008159936).

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

9067976064 is a wasteful number, since it uses less digits than its factorization.

9067976064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 9067976064 is about 95225.9211769569. The cubic root of 9067976064 is about 2085.3075791428.

The spelling of 9067976064 in words is "nine billion, sixty-seven million, nine hundred seventy-six thousand, sixty-four".