Search a number
-
+
4464165864 = 2331723475721
BaseRepresentation
bin1000010100001010…
…11100001111101000
3102112010010010022110
410022011130033220
533120311301424
62014550322320
7215424532554
oct41205341750
912463103273
104464165864
1119909a5984
12a470593a0
13561b3b182
14304c5c864
151b1db0c29
hex10a15c3e8

4464165864 has 64 divisors (see below), whose sum is σ = 12330714240. Its totient is φ = 1339627520.

The previous prime is 4464165859. The next prime is 4464165929. The reversal of 4464165864 is 4685614644.

It is a happy number.

It is a super-2 number, since 2×44641658642 = 39857553722605732992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228477 + ... + 247244.

It is an arithmetic number, because the mean of its divisors is an integer number (192667410).

Almost surely, 24464165864 is an apocalyptic number.

It is an amenable number.

4464165864 is an abundant number, since it is smaller than the sum of its proper divisors (7866548376).

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

4464165864 is a wasteful number, since it uses less digits than its factorization.

4464165864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475770 (or 475766 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The square root of 4464165864 is about 66814.4135946728. The cubic root of 4464165864 is about 1646.5696548995.

The spelling of 4464165864 in words is "four billion, four hundred sixty-four million, one hundred sixty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3128 4692 9384 475721 951442 1427163 1902884 2854326 3805768 5708652 8087257 10941583 11417304 16174514 21883166 24261771 32349028 32824749 43766332 48523542 64698056 65649498 87532664 97047084 131298996 186006911 194094168 262597992 372013822 558020733 744027644 1116041466 1488055288 2232082932 4464165864