Search a number
-
+
5418933696 = 263411253163
BaseRepresentation
bin1010000101111111…
…00101110111000000
3111222122200100120000
411002333211313000
542044221334241
62253414320000
7251200114341
oct50277456700
914878610500
105418933696
112330935100
121072959000
1368489c157
143959940c8
1521ab09eb6
hex142fe5dc0

5418933696 has 420 divisors, whose sum is σ = 18099990216. Its totient is φ = 1601233920.

The previous prime is 5418933671. The next prime is 5418933701. The reversal of 5418933696 is 6963398145.

5418933696 is a `hidden beast` number, since 541 + 8 + 9 + 3 + 3 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 33244911 + ... + 33245073.

Almost surely, 25418933696 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 5418933696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049995108).

5418933696 is an abundant number, since it is smaller than the sum of its proper divisors (12681056520).

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

5418933696 is a wasteful number, since it uses less digits than its factorization.

5418933696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 232 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 5418933696 is about 73613.4070397506. The cubic root of 5418933696 is about 1756.4587127057.

The spelling of 5418933696 in words is "five billion, four hundred eighteen million, nine hundred thirty-three thousand, six hundred ninety-six".