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6404611312 = 241124180687
BaseRepresentation
bin1011111011011111…
…01001110011110000
3121112100101222001101
411331233221303300
5101104040030222
62535305014144
7314466204121
oct57557516360
917470358041
106404611312
112797266300
1212a8a84354
137b0b63248
1444a854048
1527740c927
hex17dbe9cf0

6404611312 has 60 divisors (see below), whose sum is σ = 13972418208. Its totient is φ = 2840147200.

The previous prime is 6404611309. The next prime is 6404611313. The reversal of 6404611312 is 2131164046.

It is a super-2 number, since 2×64046113122 = 82038092115596722688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6404611313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39033 + ... + 119719.

Almost surely, 26404611312 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 6404611312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986209104).

6404611312 is an abundant number, since it is smaller than the sum of its proper divisors (7567806896).

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

6404611312 is a wasteful number, since it uses less digits than its factorization.

6404611312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80758 (or 80741 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 6404611312 is about 80028.8155104147. The cubic root of 6404611312 is about 1857.0813391896.

Adding to 6404611312 its reverse (2131164046), we get a palindrome (8535775358).

It can be divided in two parts, 6404 and 611312, that added together give a palindrome (617716).

The spelling of 6404611312 in words is "six billion, four hundred four million, six hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 121 164 176 242 328 451 484 656 902 968 1804 1936 3608 4961 7216 9922 19844 39688 79376 80687 161374 322748 645496 887557 1290992 1775114 3308167 3550228 6616334 7100456 9763127 13232668 14200912 19526254 26465336 36389837 39052508 52930672 72779674 78105016 145559348 156210032 291118696 400288207 582237392 800576414 1601152828 3202305656 6404611312