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5583790089 = 3218116012141
BaseRepresentation
bin1010011001101000…
…11110000000001001
3112102010212221000100
411030310132000021
542413422240324
62322024000013
7255241301253
oct51464360011
915363787010
105583790089
1124059a4159
1210ba000009
136acaa0207
143ad828cd3
1522a3214c9
hex14cd1e009

5583790089 has 24 divisors (see below), whose sum is σ = 8118891144. Its totient is φ = 3697920000.

The previous prime is 5583790027. The next prime is 5583790169. The reversal of 5583790089 is 9800973855.

5583790089 is a `hidden beast` number, since 558 + 3 + 7 + 9 + 0 + 0 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2343334464 + 3240455625 = 48408^2 + 56925^2 .

It is not a de Polignac number, because 5583790089 - 212 = 5583785993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5583790019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2606959 + ... + 2609099.

It is an arithmetic number, because the mean of its divisors is an integer number (338287131).

Almost surely, 25583790089 is an apocalyptic number.

It is an amenable number.

5583790089 is a deficient number, since it is larger than the sum of its proper divisors (2535101055).

5583790089 is a wasteful number, since it uses less digits than its factorization.

5583790089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 5583790089 is about 74724.7622211004. The cubic root of 5583790089 is about 1774.0929136607.

The spelling of 5583790089 in words is "five billion, five hundred eighty-three million, seven hundred ninety thousand, eighty-nine".

Divisors: 1 3 9 181 543 1601 1629 2141 4803 6423 14409 19269 289781 387521 869343 1162563 2608029 3427741 3487689 10283223 30849669 620421121 1861263363 5583790089