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3675042585 = 325411991893
BaseRepresentation
bin1101101100001100…
…1011001100011001
3100111010020111200100
43123003023030121
530011302330320
61404400530013
7160033226604
oct33303131431
910433214610
103675042585
111616513985
12866920909
134674c5c16
1426c12533b
15167986790
hexdb0cb319

3675042585 has 24 divisors (see below), whose sum is σ = 6525444744. Its totient is φ = 1912216320.

The previous prime is 3675042559. The next prime is 3675042593. The reversal of 3675042585 is 5852405763.

3675042585 is a `hidden beast` number, since 3 + 67 + 5 + 0 + 4 + 2 + 585 = 666.

3675042585 is digitally balanced in base 2, 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 4 ways, for example, as 34609689 + 3640432896 = 5883^2 + 60336^2 .

It is not a de Polignac number, because 3675042585 - 215 = 3675009817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3675042585.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994102 + ... + 997791.

It is an arithmetic number, because the mean of its divisors is an integer number (271893531).

Almost surely, 23675042585 is an apocalyptic number.

It is an amenable number.

3675042585 is a deficient number, since it is larger than the sum of its proper divisors (2850402159).

3675042585 is a wasteful number, since it uses less digits than its factorization.

3675042585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991945 (or 1991942 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 3675042585 is about 60622.1294990534. The cubic root of 3675042585 is about 1543.1949447549.

The spelling of 3675042585 in words is "three billion, six hundred seventy-five million, forty-two thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 1991893 5975679 9959465 17927037 29878395 81667613 89635185 245002839 408338065 735008517 1225014195 3675042585