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16083094314 = 2373119316397
BaseRepresentation
bin11101111101010000…
…01000101100101010
31112111212011211202210
432332220020230222
5230414233004224
611215524305550
71106361021540
oct167650105452
945455154683
1016083094314
11690353a891
12314a2422b6
13169405ab71
14ac8001d90
15641e5b429
hex3bea08b2a

16083094314 has 64 divisors (see below), whose sum is σ = 37972795392. Its totient is φ = 4443940800.

The previous prime is 16083094301. The next prime is 16083094361. The reversal of 16083094314 is 41349038061.

16083094314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2510964 + ... + 2517360.

It is an arithmetic number, because the mean of its divisors is an integer number (593324928).

Almost surely, 216083094314 is an apocalyptic number.

16083094314 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 16083094314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18986397696).

16083094314 is an abundant number, since it is smaller than the sum of its proper divisors (21889701078).

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

16083094314 is a wasteful number, since it uses less digits than its factorization.

16083094314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8371.

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 16083094314 in words is "sixteen billion, eighty-three million, ninety-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 1931 3862 5793 6397 11586 12794 13517 19191 27034 38382 40551 44779 59861 81102 89558 119722 134337 179583 198307 268674 359166 396614 419027 594921 838054 1189842 1257081 1388149 2514162 2776298 4164447 8328894 12352607 24705214 37057821 74115642 86468249 172936498 259404747 382930817 518809494 765861634 1148792451 2297584902 2680515719 5361031438 8041547157 16083094314