Search a number
-
+
5433844416 = 263731113577
BaseRepresentation
bin1010000111110000…
…11110001011000000
3112000200201220012220
411003320132023000
542112031010131
62255110051040
7251440626000
oct50370361300
915020656186
105433844416
112339299810
121077949a80
136879bcc70
14397956000
1521c0a2e96
hex143e1e2c0

5433844416 has 448 divisors, whose sum is σ = 19731532800. Its totient is φ = 1300561920.

The previous prime is 5433844411. The next prime is 5433844421. The reversal of 5433844416 is 6144483345.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5433844411) and next prime (5433844421).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5433844411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9417120 + ... + 9417696.

It is an arithmetic number, because the mean of its divisors is an integer number (44043600).

Almost surely, 25433844416 is an apocalyptic number.

5433844416 is a gapful number since it is divisible by the number (56) 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 5433844416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865766400).

5433844416 is an abundant number, since it is smaller than the sum of its proper divisors (14297688384).

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

5433844416 is a wasteful number, since it uses less digits than its factorization.

5433844416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 613 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 5433844416 is about 73714.6146703623. The cubic root of 5433844416 is about 1758.0682593238.

The spelling of 5433844416 in words is "five billion, four hundred thirty-three million, eight hundred forty-four thousand, four hundred sixteen".