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199261235106 = 232113829311813
BaseRepresentation
bin1011100110010011100…
…1010010011110100010
3201001022212011112120200
42321210321102132202
511231041334010411
6231312255450030
720252610360333
oct2714471223642
9631285145520
10199261235106
11775628551aa
1232750226916
1315a3725949b
149903d3628a
1552b3695e56
hex2e64e527a2

199261235106 has 48 divisors (see below), whose sum is σ = 435642714936. Its totient is φ = 65819109888.

The previous prime is 199261235053. The next prime is 199261235141. The reversal of 199261235106 is 601532162991.

199261235106 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 6 + 123 + 510 + 6 = 666.

199261235106 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 72571510881 + 126689724225 = 269391^2 + 355935^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16862056 + ... + 16873868.

Almost surely, 2199261235106 is an apocalyptic number.

199261235106 is an abundant number, since it is smaller than the sum of its proper divisors (236381479830).

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

199261235106 is a wasteful number, since it uses less digits than its factorization.

199261235106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20227 (or 20224 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 199261235106 in words is "one hundred ninety-nine billion, two hundred sixty-one million, two hundred thirty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 2034 8293 11813 16586 23626 24879 35439 49758 70878 74637 106317 149274 212634 937109 1334869 1874218 2669738 2811327 4004607 5622654 8009214 8433981 12013821 16867962 24027642 97965209 195930418 293895627 587791254 881686881 1763373762 11070068617 22140137234 33210205851 66420411702 99630617553 199261235106