Search a number
-
+
6227414464 = 261911034643
BaseRepresentation
bin1011100110010111…
…01100110111000000
3121001222222102200011
411303023230313000
5100223204230324
62505535034304
7310215102205
oct56313546700
917058872604
106227414464
112706238727
12125966b994
1378323123b
144310c9cac
15266aa9c94
hex1732ecdc0

6227414464 has 56 divisors (see below), whose sum is σ = 13022519040. Its totient is φ = 2946518784.

The previous prime is 6227414443. The next prime is 6227414489. The reversal of 6227414464 is 4644147226.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1338927 + ... + 1343569.

Almost surely, 26227414464 is an apocalyptic number.

6227414464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6227414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511259520).

6227414464 is an abundant number, since it is smaller than the sum of its proper divisors (6795104576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6227414464 is a wasteful number, since it uses less digits than its factorization.

6227414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777 (or 5767 counting only the distinct ones).

The product of its digits is 258048, while the sum is 40.

The square root of 6227414464 is about 78913.9687507858. The cubic root of 6227414464 is about 1839.7942492053.

The spelling of 6227414464 in words is "six billion, two hundred twenty-seven million, four hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1103 1216 2206 4412 4643 8824 9286 17648 18572 20957 35296 37144 41914 70592 74288 83828 88217 148576 167656 176434 297152 335312 352868 670624 705736 1341248 1411472 2822944 5121229 5645888 10242458 20484916 40969832 81939664 97303351 163879328 194606702 327758656 389213404 778426808 1556853616 3113707232 6227414464