Search a number
-
+
4466564568 = 2332317379347
BaseRepresentation
bin1000010100011101…
…00101110111011000
3102112021121222201100
410022032211313120
533121420031233
62015113551400
7215454113064
oct41216456730
912467558640
104466564568
111992294084
12a47a15560
1356249ac1b
143052c4aa4
151b21d6813
hex10a3a5dd8

4466564568 has 192 divisors, whose sum is σ = 12855398400. Its totient is φ = 1399057920.

The previous prime is 4466564567. The next prime is 4466564569. The reversal of 4466564568 is 8654656644.

It is an interprime number because it is at equal distance from previous prime (4466564567) and next prime (4466564569).

It is a super-2 number, since 2×44665645682 = 39900398080226053248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4466564563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12871771 + ... + 12872117.

It is an arithmetic number, because the mean of its divisors is an integer number (66955200).

Almost surely, 24466564568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4466564568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427699200).

4466564568 is an abundant number, since it is smaller than the sum of its proper divisors (8388833832).

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

4466564568 is a wasteful number, since it uses less digits than its factorization.

4466564568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The square root of 4466564568 is about 66832.3616820474. The cubic root of 4466564568 is about 1646.8645159581.

The spelling of 4466564568 in words is "four billion, four hundred sixty-six million, five hundred sixty-four thousand, five hundred sixty-eight".