Search a number
-
+
4136973665 = 51126837973
BaseRepresentation
bin1111011010010101…
…0011010101100001
3101200022110000222212
43312211103111201
531433031124130
61522301411505
7204342460466
oct36645232541
911608400885
104136973665
111833239600
12975569b95
1350c10c416
142b360b66d
151932cee95
hexf6953561

4136973665 has 12 divisors (see below), whose sum is σ = 5456703252. Its totient is φ = 3008707680.

The previous prime is 4136973629. The next prime is 4136973667. The reversal of 4136973665 is 5663796314.

It can be written as a sum of positive squares in 2 ways, for example, as 645109201 + 3491864464 = 25399^2 + 59092^2 .

It is not a de Polignac number, because 4136973665 - 26 = 4136973601 is a prime.

It is a super-2 number, since 2×41369736652 = 34229102209807064450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4136973667) 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, 3418382 + ... + 3419591.

It is an arithmetic number, because the mean of its divisors is an integer number (454725271).

Almost surely, 24136973665 is an apocalyptic number.

It is an amenable number.

4136973665 is a deficient number, since it is larger than the sum of its proper divisors (1319729587).

4136973665 is a wasteful number, since it uses less digits than its factorization.

4136973665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838000 (or 6837989 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 50.

The square root of 4136973665 is about 64319.3102030798. The cubic root of 4136973665 is about 1605.3174211983.

The spelling of 4136973665 in words is "four billion, one hundred thirty-six million, nine hundred seventy-three thousand, six hundred sixty-five".

Divisors: 1 5 11 55 121 605 6837973 34189865 75217703 376088515 827394733 4136973665