Search a number
-
+
6403223046 = 2311234319787
BaseRepresentation
bin1011111011010100…
…10110111000000110
3121112020210102201010
411331222112320012
5101103211114141
62535215143050
7314451332523
oct57552267006
917466712633
106403223046
1127964a8280
1212a8514a86
137b079839c
1444a5b214a
15277236416
hex17da96e06

6403223046 has 64 divisors (see below), whose sum is σ = 14613405696. Its totient is φ = 1851511200.

The previous prime is 6403223039. The next prime is 6403223059.

It is a happy number.

6403223046 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649365 + ... + 659151.

It is an arithmetic number, because the mean of its divisors is an integer number (228334464).

Almost surely, 26403223046 is an apocalyptic number.

6403223046 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6403223046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7306702848).

6403223046 is an abundant number, since it is smaller than the sum of its proper divisors (8210182650).

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

6403223046 is a wasteful number, since it uses less digits than its factorization.

6403223046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10257.

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 6403223046 is about 80020.1415019994. The cubic root of 6403223046 is about 1856.9471489394.

It can be divided in two parts, 64032 and 23046, that added together give a palindrome (87078).

The spelling of 6403223046 in words is "six billion, four hundred three million, two hundred twenty-three thousand, forty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 431 506 759 862 1293 1518 2586 4741 9482 9787 9913 14223 19574 19826 28446 29361 29739 58722 59478 107657 109043 215314 218086 225101 322971 327129 450202 645942 654258 675303 1350606 2476111 4218197 4952222 7428333 8436394 12654591 14856666 25309182 46400167 92800334 97018531 139200501 194037062 278401002 291055593 582111186 1067203841 2134407682 3201611523 6403223046