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199411984305 = 32519317523561
BaseRepresentation
bin1011100110110111100…
…0010110011110110001
3201001201100211101121100
42321231320112132301
511231343431444210
6231335242515013
720256420620352
oct2715570263661
9631640741540
10199411984305
117762a959316
1232792805a69
1315a5c55b3b1
149919d77d29
1552c1a225c0
hex2e6de167b1

199411984305 has 48 divisors (see below), whose sum is σ = 375576215040. Its totient is φ = 97505337600.

The previous prime is 199411984297. The next prime is 199411984333. The reversal of 199411984305 is 503489114991.

It is a happy number.

199411984305 is a `hidden beast` number, since 1 + 9 + 94 + 119 + 8 + 430 + 5 = 666.

It is not a de Polignac number, because 199411984305 - 23 = 199411984297 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3735276 + ... + 3788285.

It is an arithmetic number, because the mean of its divisors is an integer number (7824504480).

Almost surely, 2199411984305 is an apocalyptic number.

199411984305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199411984305 is a deficient number, since it is larger than the sum of its proper divisors (176164230735).

199411984305 is a wasteful number, since it uses less digits than its factorization.

199411984305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7523622 (or 7523619 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 199411984305 in words is "one hundred ninety-nine billion, four hundred eleven million, nine hundred eighty-four thousand, three hundred five".

Divisors: 1 3 5 9 15 19 31 45 57 93 95 155 171 279 285 465 589 855 1395 1767 2945 5301 8835 26505 7523561 22570683 37617805 67712049 112853415 142947659 233230391 338560245 428842977 699691173 714738295 1166151955 1286528931 2099073519 2144214885 3498455865 4431377429 6432644655 10495367595 13294132287 22156887145 39882396861 66470661435 199411984305