Search a number
-
+
5335908864 = 2931113171429
BaseRepresentation
bin1001111100000101…
…11000001000000000
3111202212110020220020
410332002320020000
541411443040424
62241251013440
7246141322416
oct47602701000
914685406806
105335908864
112298a88340
12104ab9a280
13670620030
143889412b6
152136aa079
hex13e0b8200

5335908864 has 320 divisors, whose sum is σ = 17695117440. Its totient is φ = 1403781120.

The previous prime is 5335908857. The next prime is 5335908887. The reversal of 5335908864 is 4688095335.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3733302 + ... + 3734730.

It is an arithmetic number, because the mean of its divisors is an integer number (55297242).

Almost surely, 25335908864 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 5335908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847558720).

5335908864 is an abundant number, since it is smaller than the sum of its proper divisors (12359208576).

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

5335908864 is a wasteful number, since it uses less digits than its factorization.

5335908864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The square root of 5335908864 is about 73047.3056587305. The cubic root of 5335908864 is about 1747.4421258727.

The spelling of 5335908864 in words is "five billion, three hundred thirty-five million, nine hundred eight thousand, eight hundred sixty-four".