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5469662016 = 2632713223349
BaseRepresentation
bin1010001100000010…
…00110101101000000
3112010012010121201200
411012001012231000
542200213141031
62302425501200
7252354234330
oct50601065500
915105117650
105469662016
112357533035
121087941800
13692250c00
1439c5db0c0
152202ca8e6
hex146046b40

5469662016 has 504 divisors, whose sum is σ = 20303337600. Its totient is φ = 1375875072.

The previous prime is 5469661999. The next prime is 5469662071. The reversal of 5469662016 is 6102669645.

5469662016 is a `hidden beast` number, since 5 + 4 + 6 + 9 + 6 + 620 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 15672210 + ... + 15672558.

It is an arithmetic number, because the mean of its divisors is an integer number (40284400).

Almost surely, 25469662016 is an apocalyptic number.

5469662016 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 5469662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10151668800).

5469662016 is an abundant number, since it is smaller than the sum of its proper divisors (14833675584).

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

5469662016 is a wasteful number, since it uses less digits than its factorization.

5469662016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5469662016 is about 73957.1633853003. The cubic root of 5469662016 is about 1761.9226166078.

The spelling of 5469662016 in words is "five billion, four hundred sixty-nine million, six hundred sixty-two thousand, sixteen".