Search a number
-
+
6404685824 = 2143311181
BaseRepresentation
bin1011111011011111…
…11100000000000000
3121112100112202021002
411331233330000000
5101104044421244
62535310351132
7314466634265
oct57557740000
917470482232
106404685824
112797307289
1212a8abb4a8
137b0b8b134
1444a87326c
15277424a4e
hex17dbfc000

6404685824 has 60 divisors (see below), whose sum is σ = 12858557208. Its totient is φ = 3189964800.

The previous prime is 6404685811. The next prime is 6404685887. The reversal of 6404685824 is 4285864046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5422514 + ... + 5423694.

Almost surely, 26404685824 is an apocalyptic number.

6404685824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6404685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429278604).

6404685824 is an abundant number, since it is smaller than the sum of its proper divisors (6453871384).

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

6404685824 is an equidigital number, since it uses as much as digits as its factorization.

6404685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 47.

The square root of 6404685824 is about 80029.2810413788. The cubic root of 6404685824 is about 1857.0885409958.

The spelling of 6404685824 in words is "six billion, four hundred four million, six hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 331 512 662 1024 1181 1324 2048 2362 2648 4096 4724 5296 8192 9448 10592 16384 18896 21184 37792 42368 75584 84736 151168 169472 302336 338944 390911 604672 677888 781822 1209344 1355776 1563644 2418688 2711552 3127288 4837376 5423104 6254576 9674752 12509152 19349504 25018304 50036608 100073216 200146432 400292864 800585728 1601171456 3202342912 6404685824