Search a number
-
+
36160404413 = 722933137681
BaseRepresentation
bin100001101011010100…
…111111101110111101
310110100002011212112112
4201223110333232331
51043024030420123
624340054543405
72420042236400
oct415324775675
9113302155475
1036160404413
1114376673051
127012067b65
133543763703
141a7068dd37
15e19898d78
hex86b53fbbd

36160404413 has 24 divisors (see below), whose sum is σ = 43533433080. Its totient is φ = 29912924160.

The previous prime is 36160404407. The next prime is 36160404419. The reversal of 36160404413 is 31440406163.

It is an interprime number because it is at equal distance from previous prime (36160404407) and next prime (36160404419).

It can be written as a sum of positive squares in 4 ways, for example, as 17219213284 + 18941191129 = 131222^2 + 137627^2 .

It is not a de Polignac number, because 36160404413 - 26 = 36160404349 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36160404413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36160404419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4703933 + ... + 4711613.

It is an arithmetic number, because the mean of its divisors is an integer number (1813893045).

Almost surely, 236160404413 is an apocalyptic number.

It is an amenable number.

36160404413 is a deficient number, since it is larger than the sum of its proper divisors (7373028667).

36160404413 is a wasteful number, since it uses less digits than its factorization.

36160404413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11037 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 36160404413 in words is "thirty-six billion, one hundred sixty million, four hundred four thousand, four hundred thirteen".

Divisors: 1 7 29 49 203 1421 3313 7681 23191 53767 96077 162337 222749 376369 672539 1559243 4707773 10914701 25447153 178130071 737967437 1246910497 5165772059 36160404413