Search a number
-
+
5353418336 = 25759405071
BaseRepresentation
bin1001111110001011…
…01010111001100000
3111211002101211101012
410333011222321200
541430433341321
62243114200052
7246443206430
oct47705527140
914732354335
105353418336
1122a7957482
121054a23028
13674140976
1438adbc2c0
15214eb805b
hex13f16ae60

5353418336 has 48 divisors (see below), whose sum is σ = 12249377280. Its totient is φ = 2255429760.

The previous prime is 5353418311. The next prime is 5353418351. The reversal of 5353418336 is 6338143535.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5353418293 and 5353418302.

It is a congruent number.

It is an unprimeable number.

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, 189320 + ... + 215751.

It is an arithmetic number, because the mean of its divisors is an integer number (255195360).

Almost surely, 25353418336 is an apocalyptic number.

5353418336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5353418336 is an abundant number, since it is smaller than the sum of its proper divisors (6895958944).

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

5353418336 is a wasteful number, since it uses less digits than its factorization.

5353418336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405147 (or 405139 counting only the distinct ones).

The product of its digits is 388800, while the sum is 41.

The square root of 5353418336 is about 73167.0577240878. The cubic root of 5353418336 is about 1749.3514152704.

The spelling of 5353418336 in words is "five billion, three hundred fifty-three million, four hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1888 3304 6608 13216 405071 810142 1620284 2835497 3240568 5670994 6481136 11341988 12962272 22683976 23899189 45367952 47798378 90735904 95596756 167294323 191193512 334588646 382387024 669177292 764774048 1338354584 2676709168 5353418336