Search a number
-
+
5643993465 = 335113800669
BaseRepresentation
bin1010100000110100…
…01000000101111001
3112120100011120112000
411100122020011321
543024330242330
62332014211213
7256602103305
oct52032100571
915510146460
105643993465
112436983910
1211161b3b09
136bc3bb906
143b781ad05
15230764560
hex150688179

5643993465 has 32 divisors (see below), whose sum is σ = 10945929600. Its totient is φ = 2736480960.

The previous prime is 5643993409. The next prime is 5643993493.

5643993465 is a `hidden beast` number, since 5 + 64 + 39 + 93 + 465 = 666.

5643993465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5643993465 - 26 = 5643993401 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1898850 + ... + 1901819.

It is an arithmetic number, because the mean of its divisors is an integer number (342060300).

Almost surely, 25643993465 is an apocalyptic number.

5643993465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5643993465 is a deficient number, since it is larger than the sum of its proper divisors (5301936135).

5643993465 is a wasteful number, since it uses less digits than its factorization.

5643993465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800694 (or 3800688 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The square root of 5643993465 is about 75126.5163906859. The cubic root of 5643993465 is about 1780.4461139331.

The spelling of 5643993465 in words is "five billion, six hundred forty-three million, nine hundred ninety-three thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 3800669 11402007 19003345 34206021 41807359 57010035 102618063 125422077 171030105 209036795 376266231 513090315 627110385 1128798693 1881331155 5643993465