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9982906321 = 29227742853
BaseRepresentation
bin10010100110000011…
…10000111111010001
3221202201121012000011
421103001300333101
5130421111000241
64330332154521
7502246206103
oct112301607721
927681535004
109982906321
1142630aa303
121b27308a41
13c312b3b7b
146a9b93573
153d6633281
hex253070fd1

9982906321 has 12 divisors (see below), whose sum is σ = 10376581852. Its totient is φ = 9603647424.

The previous prime is 9982906313. The next prime is 9982906331. The reversal of 9982906321 is 1236092899.

9982906321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 513475600 + 9469430721 = 22660^2 + 97311^2 .

It is not a de Polignac number, because 9982906321 - 23 = 9982906313 is a prime.

It is a super-2 number, since 2×99829063212 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9982906301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211531 + ... + 254383.

Almost surely, 29982906321 is an apocalyptic number.

It is an amenable number.

9982906321 is a deficient number, since it is larger than the sum of its proper divisors (393675531).

9982906321 is a wasteful number, since it uses less digits than its factorization.

9982906321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43188 (or 43159 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

The square root of 9982906321 is about 99914.4950495172. The cubic root of 9982906321 is about 2153.2064160745.

The spelling of 9982906321 in words is "nine billion, nine hundred eighty-two million, nine hundred six thousand, three hundred twenty-one".

Divisors: 1 29 277 841 8033 42853 232957 1242737 11870281 36039373 344238149 9982906321