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2890827641 = 13217105489
BaseRepresentation
bin1010110001001110…
…1000011101111001
321110110121021000102
42230103220131321
521410022441031
61154504245145
7131431425632
oct25423503571
97413537012
102890827641
111253884659
126881707b5
13370babb00
141d5d08889
1511dbcb7cb
hexac4e8779

2890827641 has 6 divisors (see below), whose sum is σ = 3130304670. Its totient is φ = 2668456128.

The previous prime is 2890827613. The next prime is 2890827647. The reversal of 2890827641 is 1467280982.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 258727225 + 2632100416 = 16085^2 + 51304^2 .

It is not a de Polignac number, because 2890827641 - 218 = 2890565497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2890827647) 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 5 ways as a sum of consecutive naturals, for example, 8552576 + ... + 8552913.

It is an arithmetic number, because the mean of its divisors is an integer number (521717445).

Almost surely, 22890827641 is an apocalyptic number.

It is an amenable number.

2890827641 is a deficient number, since it is larger than the sum of its proper divisors (239477029).

2890827641 is a wasteful number, since it uses less digits than its factorization.

2890827641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17105515 (or 17105502 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 2890827641 is about 53766.4174090110. The cubic root of 2890827641 is about 1424.5380903223.

The spelling of 2890827641 in words is "two billion, eight hundred ninety million, eight hundred twenty-seven thousand, six hundred forty-one".

Divisors: 1 13 169 17105489 222371357 2890827641