Search a number
-
+
5418834960 = 24357112192361
BaseRepresentation
bin1010000101111110…
…01101110000010000
3111222122111100010010
411002333031300100
542044210204320
62253412234520
7251166223440
oct50277156020
914878440103
105418834960
112330877a00
12107290ba40
13684866226
1439596a120
1521aadaae0
hex142fcdc10

5418834960 has 960 divisors, whose sum is σ = 23558492160. Its totient is φ = 1003622400.

The previous prime is 5418834929. The next prime is 5418834961. The reversal of 5418834960 is 694388145.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5418834961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88833330 + ... + 88833390.

It is an arithmetic number, because the mean of its divisors is an integer number (24540096).

Almost surely, 25418834960 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 5418834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11779246080).

5418834960 is an abundant number, since it is smaller than the sum of its proper divisors (18139657200).

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

5418834960 is a wasteful number, since it uses less digits than its factorization.

5418834960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 5418834960 is about 73612.7363979903. The cubic root of 5418834960 is about 1756.4480447545.

The spelling of 5418834960 in words is "five billion, four hundred eighteen million, eight hundred thirty-four thousand, nine hundred sixty".