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5577583005 = 325123946289
BaseRepresentation
bin1010011000111001…
…10010100110011101
3112101201012120111100
411030130302212131
542410330124010
62321242543313
7255134446641
oct51434624635
915351176440
105577583005
112402444735
1210b7b07b39
136ab708b97
143aca90c21
152299e72c0
hex14c73299d

5577583005 has 12 divisors (see below), whose sum is σ = 9667810620. Its totient is φ = 2974710912.

The previous prime is 5577583001. The next prime is 5577583049. The reversal of 5577583005 is 5003857755.

It can be written as a sum of positive squares in 2 ways, for example, as 3766399641 + 1811183364 = 61371^2 + 42558^2 .

It is not a de Polignac number, because 5577583005 - 22 = 5577583001 is a prime.

It is a super-2 number, since 2×55775830052 = 62218864355329660050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 123946289 = 5577583005 / (5 + 5 + 7 + 7 + 5 + 8 + 3 + 0 + 0 + 5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5577583001) 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 11 ways as a sum of consecutive naturals, for example, 61973100 + ... + 61973189.

It is an arithmetic number, because the mean of its divisors is an integer number (805650885).

Almost surely, 25577583005 is an apocalyptic number.

It is an amenable number.

5577583005 is a deficient number, since it is larger than the sum of its proper divisors (4090227615).

5577583005 is a wasteful number, since it uses less digits than its factorization.

5577583005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123946300 (or 123946297 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The square root of 5577583005 is about 74683.2176931337. The cubic root of 5577583005 is about 1773.4352942259.

The spelling of 5577583005 in words is "five billion, five hundred seventy-seven million, five hundred eighty-three thousand, five".

Divisors: 1 3 5 9 15 45 123946289 371838867 619731445 1115516601 1859194335 5577583005