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16580890257 = 3431271012079
BaseRepresentation
bin11110111000100110…
…00100111010010001
31120210112212111102120
433130103010322101
5232424201442012
611341150004453
71124614145631
oct173423047221
946715774376
1016580890257
117039531298
123268aa6729
131743220989
14b341826c1
156709db58c
hex3dc4c4e91

16580890257 has 16 divisors (see below), whose sum is σ = 22800138240. Its totient is φ = 10711833552.

The previous prime is 16580890243. The next prime is 16580890267. The reversal of 16580890257 is 75209808561.

16580890257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-16580890257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16580890267) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 489657 + ... + 522422.

It is an arithmetic number, because the mean of its divisors is an integer number (1425008640).

Almost surely, 216580890257 is an apocalyptic number.

It is an amenable number.

16580890257 is a deficient number, since it is larger than the sum of its proper divisors (6219247983).

16580890257 is a wasteful number, since it uses less digits than its factorization.

16580890257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012252.

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 16580890257 in words is "sixteen billion, five hundred eighty million, eight hundred ninety thousand, two hundred fifty-seven".

Divisors: 1 3 43 127 129 381 5461 16383 1012079 3036237 43519397 128534033 130558191 385602099 5526963419 16580890257