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6404161632 = 253116064547
BaseRepresentation
bin1011111011011011…
…11100000001100000
3121112022120010012120
411331231330001200
5101103431133012
62535251224240
7314462322111
oct57555740140
917468503176
106404161632
112796a89470
1212a88a8080
137b0a3666b
1444a778208
1527736e58c
hex17db7c060

6404161632 has 48 divisors (see below), whose sum is σ = 18339193152. Its totient is φ = 1940654720.

The previous prime is 6404161571. The next prime is 6404161633. The reversal of 6404161632 is 2361614046.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 6404161593 and 6404161602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6404161633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3031218 + ... + 3033329.

It is an arithmetic number, because the mean of its divisors is an integer number (382066524).

Almost surely, 26404161632 is an apocalyptic number.

It is an amenable number.

6404161632 is an abundant number, since it is smaller than the sum of its proper divisors (11935031520).

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

6404161632 is a wasteful number, since it uses less digits than its factorization.

6404161632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064571 (or 6064563 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 6404161632 is about 80026.0059730585. The cubic root of 6404161632 is about 1857.0378750958.

Adding to 6404161632 its reverse (2361614046), we get a palindrome (8765775678).

The spelling of 6404161632 in words is "six billion, four hundred four million, one hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 6064547 12129094 18193641 24258188 36387282 48516376 66710017 72774564 97032752 133420034 145549128 194065504 200130051 266840068 291098256 400260102 533680136 582196512 800520204 1067360272 1601040408 2134720544 3202080816 6404161632