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199116837912 = 233137464313043
BaseRepresentation
bin1011100101110001001…
…0011101010000011000
3201000221210110101212110
42321130102131100120
511230242402303122
6231250100512320
720246205124266
oct2713422352030
9630853411773
10199116837912
117749929a483
123270b9ab6a0
1315a1336c865
1498ccaa9436
1552a5b7190c
hex2e5c49d418

199116837912 has 64 divisors (see below), whose sum is σ = 501572062080. Its totient is φ = 65868568832.

The previous prime is 199116837847. The next prime is 199116837917. The reversal of 199116837912 is 219738611991.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199116837917) 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, 15259663 + ... + 15272705.

It is an arithmetic number, because the mean of its divisors is an integer number (7837063470).

Almost surely, 2199116837912 is an apocalyptic number.

199116837912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199116837912 is an abundant number, since it is smaller than the sum of its proper divisors (302455224168).

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

199116837912 is a wasteful number, since it uses less digits than its factorization.

199116837912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17832 (or 17828 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 57.

The spelling of 199116837912 in words is "one hundred ninety-nine billion, one hundred sixteen million, eight hundred thirty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 137 274 411 548 822 1096 1644 3288 4643 9286 13043 13929 18572 26086 27858 37144 39129 52172 55716 78258 104344 111432 156516 313032 636091 1272182 1786891 1908273 2544364 3573782 3816546 5088728 5360673 7147564 7633092 10721346 14295128 15266184 21442692 42885384 60558649 121117298 181675947 242234596 363351894 484469192 726703788 1453407576 8296534913 16593069826 24889604739 33186139652 49779209478 66372279304 99558418956 199116837912