Search a number
-
+
6404116080 = 243526683817
BaseRepresentation
bin1011111011011011…
…10000111001110000
3121112022110210201110
411331231300321300
5101103423203310
62535250233320
7314462042235
oct57555607160
917468423643
106404116080
112796a5821a
1212a8885840
137b0a1b9cb
1444a76578c
15277360d20
hex17db70e70

6404116080 has 40 divisors (see below), whose sum is σ = 19852760592. Its totient is φ = 1707764224.

The previous prime is 6404116063. The next prime is 6404116099. The reversal of 6404116080 is 806114046.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×64041160802 = 82025405532229132800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13341669 + ... + 13342148.

Almost surely, 26404116080 is an apocalyptic number.

6404116080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6404116080 is an abundant number, since it is smaller than the sum of its proper divisors (13448644512).

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

6404116080 is a wasteful number, since it uses less digits than its factorization.

6404116080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26683833 (or 26683827 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6404116080 is about 80025.7213650711. The cubic root of 6404116080 is about 1857.0334721260.

The spelling of 6404116080 in words is "six billion, four hundred four million, one hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 26683817 53367634 80051451 106735268 133419085 160102902 213470536 266838170 320205804 400257255 426941072 533676340 640411608 800514510 1067352680 1280823216 1601029020 2134705360 3202058040 6404116080