Search a number
-
+
5431998312 = 233213193159167
BaseRepresentation
bin1010000111100010…
…11011011101101000
3112000120021002211200
411003301123131220
542111042421222
62255002324200
7251416136526
oct50361333550
915016232750
105431998312
112338248804
1210771b9660
136874c48b0
143975d5316
1521bd3aeac
hex143c5b768

5431998312 has 384 divisors, whose sum is σ = 17611776000. Its totient is φ = 1497346560.

The previous prime is 5431998307. The next prime is 5431998337. The reversal of 5431998312 is 2138991345.

It is a happy number.

5431998312 is a `hidden beast` number, since 543 + 1 + 9 + 98 + 3 + 12 = 666.

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 95 ways as a sum of consecutive naturals, for example, 32526853 + ... + 32527019.

It is an arithmetic number, because the mean of its divisors is an integer number (45864000).

Almost surely, 25431998312 is an apocalyptic number.

5431998312 is a gapful number since it is divisible by the number (52) 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 5431998312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888000).

5431998312 is an abundant number, since it is smaller than the sum of its proper divisors (12179777688).

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

5431998312 is a wasteful number, since it uses less digits than its factorization.

5431998312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 294 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 5431998312 is about 73702.0916392473. The cubic root of 5431998312 is about 1757.8691403564.

The spelling of 5431998312 in words is "five billion, four hundred thirty-one million, nine hundred ninety-eight thousand, three hundred twelve".