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5431829868 = 2234172353809
BaseRepresentation
bin1010000111100001…
…10010010101101100
3112000112221112210000
411003300302111230
542111022023433
62254554544300
7251414535453
oct50360622554
915015845700
105431829868
1123381431a3
121077138090
1368746601a
1439758db9a
1521bd06113
hex143c3256c

5431829868 has 240 divisors, whose sum is σ = 16004640960. Its totient is φ = 1597280256.

The previous prime is 5431829863. The next prime is 5431829869. The reversal of 5431829868 is 8689281345.

5431829868 is a `hidden beast` number, since 543 + 1 + 8 + 2 + 98 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5431829861) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6713848 + ... + 6714656.

It is an arithmetic number, because the mean of its divisors is an integer number (66686004).

Almost surely, 25431829868 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 5431829868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002320480).

5431829868 is an abundant number, since it is smaller than the sum of its proper divisors (10572811092).

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

5431829868 is a wasteful number, since it uses less digits than its factorization.

5431829868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 907 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 5431829868 is about 73700.9488948412. The cubic root of 5431829868 is about 1757.8509699058.

The spelling of 5431829868 in words is "five billion, four hundred thirty-one million, eight hundred twenty-nine thousand, eight hundred sixty-eight".