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16301317914 = 23271376591433
BaseRepresentation
bin11110010111010001…
…00101111100011010
31120002001210202021100
433023220211330122
5231341114133124
611253321452230
71114650626130
oct171350457432
946061722240
1016301317914
116a0573a472
1231ab341076
1316ca325b5b
14b08da9750
156561b51c9
hex3cba25f1a

16301317914 has 96 divisors (see below), whose sum is σ = 40749920640. Its totient is φ = 4613285376.

The previous prime is 16301317913. The next prime is 16301317927. The reversal of 16301317914 is 41971310361.

16301317914 is a `hidden beast` number, since 1 + 630 + 1 + 3 + 1 + 7 + 9 + 14 = 666.

It is a super-2 number, since 2×163013179142 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16301317913) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11374942 + ... + 11376374.

It is an arithmetic number, because the mean of its divisors is an integer number (424478340).

Almost surely, 216301317914 is an apocalyptic number.

16301317914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16301317914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20374960320).

16301317914 is an abundant number, since it is smaller than the sum of its proper divisors (24448602726).

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

16301317914 is a wasteful number, since it uses less digits than its factorization.

16301317914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 16301317914 in words is "sixteen billion, three hundred one million, three hundred seventeen thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 274 411 659 822 959 1233 1318 1433 1918 1977 2466 2866 2877 3954 4299 4613 5754 5931 8598 8631 9226 10031 11862 12897 13839 17262 20062 25794 27678 30093 41517 60186 83034 90279 90283 180558 180566 196321 270849 392642 541698 588963 631981 812547 944347 1177926 1263962 1374247 1625094 1766889 1888694 1895943 2748494 2833041 3533778 3791886 4122741 5666082 5687829 6610429 8245482 8499123 11375658 12368223 13220858 16998246 19831287 24736446 39662574 59493861 118987722 129375539 258751078 388126617 776253234 905628773 1164379851 1811257546 2328759702 2716886319 5433772638 8150658957 16301317914