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5431813120 = 21053753541
BaseRepresentation
bin1010000111100001…
…01110010000000000
3112000112220200210201
411003300232100000
542111021004440
62254554334544
7251414435566
oct50360562000
915015820721
105431813120
112338131658
12107712a454
1368745b506
14397587a36
1521bd0119a
hex143c2e400

5431813120 has 176 divisors, whose sum is σ = 13659843888. Its totient is φ = 2070282240.

The previous prime is 5431813117. The next prime is 5431813133. The reversal of 5431813120 is 213181345.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 257025024 + 5174788096 = 16032^2 + 71936^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10040050 + ... + 10040590.

Almost surely, 25431813120 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 5431813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829921944).

5431813120 is an abundant number, since it is smaller than the sum of its proper divisors (8228030768).

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

5431813120 is a wasteful number, since it uses less digits than its factorization.

5431813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 5431813120 is about 73700.8352734214. The cubic root of 5431813120 is about 1757.8491632391.

Adding to 5431813120 its reverse (213181345), we get a palindrome (5644994465).

The spelling of 5431813120 in words is "five billion, four hundred thirty-one million, eight hundred thirteen thousand, one hundred twenty".