Search a number
-
+
16434666360 = 233257171961331
BaseRepresentation
bin11110100111001010…
…10001101101111000
31120102100201112221200
433103211101231320
5232124233310420
611314443534200
71121160234120
oct172345215570
946370645850
1016434666360
116a73a390a2
123227b2a360
13171bb44768
14b1c99bc80
15662c55b90
hex3d3951b78

16434666360 has 768 divisors, whose sum is σ = 69359846400. Its totient is φ = 3284582400.

The previous prime is 16434666359. The next prime is 16434666383. The reversal of 16434666360 is 6366643461.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49651395 + ... + 49651725.

It is an arithmetic number, because the mean of its divisors is an integer number (90312300).

Almost surely, 216434666360 is an apocalyptic number.

16434666360 is a gapful number since it is divisible by the number (10) 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 16434666360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34679923200).

16434666360 is an abundant number, since it is smaller than the sum of its proper divisors (52925180040).

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

16434666360 is a wasteful number, since it uses less digits than its factorization.

16434666360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 16434666360 in words is "sixteen billion, four hundred thirty-four million, six hundred sixty-six thousand, three hundred sixty".