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16328838174306 = 2372211721336493
BaseRepresentation
bin1110110110011101101010…
…0110010101011001100010
32010211000120210210212121120
43231213122212111121202
54120012430033034211
654421210435233110
73303501555254100
oct355473246253142
963730523725546
1016328838174306
115226026503979
1219b877aa48796
13915a58a92388
1440646a074c70
151d4b3d1b8d06
hexed9da995662

16328838174306 has 96 divisors (see below), whose sum is σ = 38175924961728. Its totient is φ = 4642500562560.

The previous prime is 16328838174301. The next prime is 16328838174347. The reversal of 16328838174306 is 60347183882361.

It is a happy number.

It is a super-2 number, since 2×163288381743062 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16328838174306.

It is not an unprimeable number, because it can be changed into a prime (16328838174301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447432996 + ... + 447469488.

It is an arithmetic number, because the mean of its divisors is an integer number (397665885018).

Almost surely, 216328838174306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16328838174306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19087962480864).

16328838174306 is an abundant number, since it is smaller than the sum of its proper divisors (21847086787422).

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

16328838174306 is a wasteful number, since it uses less digits than its factorization.

16328838174306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43936 (or 43929 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 16328838174306 in words is "sixteen trillion, three hundred twenty-eight billion, eight hundred thirty-eight million, one hundred seventy-four thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 211 294 422 633 1266 1477 2954 4431 7213 8862 10339 14426 20678 21639 31017 36493 43278 50491 62034 72986 100982 109479 151473 218958 255451 302946 353437 510902 706874 766353 1060311 1521943 1532706 1788157 2120622 3043886 3576314 4565829 5364471 7700023 9131658 10653601 10728942 15400046 21307202 23100069 31960803 46200138 53900161 63921606 74575207 107800322 149150414 161700483 223725621 263224009 323400966 377301127 447451242 526448018 754602254 789672027 1131903381 1579344054 1842568063 2263806762 3685136126 5527704189 11055408378 12897976441 25795952882 38693929323 55540265899 77387858646 111080531798 166620797697 333241595394 388781861293 777563722586 1166345583879 2332691167758 2721473029051 5442946058102 8164419087153 16328838174306