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3834545996196 = 22321721292942977
BaseRepresentation
bin110111110011001100110…
…000001000000110100100
3111120120122002210110020100
4313303030300020012210
51000311122233334241
612053322140304100
7544015424116146
oct67631460100644
914516562713210
103834545996196
111249249280753
1251b1b1842030
1321a799931036
14d3843346c96
1569b2a7d69b6
hex37cccc081a4

3834545996196 has 72 divisors (see below), whose sum is σ = 10267873663320. Its totient is φ = 1202429362176.

The previous prime is 3834545996191. The next prime is 3834545996233. The reversal of 3834545996196 is 6916995454383.

3834545996196 is a `hidden beast` number, since 3 + 8 + 345 + 4 + 5 + 9 + 96 + 196 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9079421796 + 3825466574400 = 95286^2 + 1955880^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3834545996191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168541 + ... + 2774436.

It is an arithmetic number, because the mean of its divisors is an integer number (142609356435).

Almost surely, 23834545996196 is an apocalyptic number.

3834545996196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3834545996196 is an abundant number, since it is smaller than the sum of its proper divisors (6433327667124).

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

3834545996196 is a wasteful number, since it uses less digits than its factorization.

3834545996196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945133 (or 2945128 counting only the distinct ones).

The product of its digits is 755827200, while the sum is 72.

The spelling of 3834545996196 in words is "three trillion, eight hundred thirty-four billion, five hundred forty-five million, nine hundred ninety-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 2129 4258 6387 8516 12774 19161 25548 36193 38322 72386 76644 108579 144772 217158 325737 434316 651474 1302948 2942977 5885954 8828931 11771908 17657862 26486793 35315724 50030609 52973586 100061218 105947172 150091827 200122436 300183654 450275481 600367308 900550962 1801101924 6265598033 12531196066 18796794099 25062392132 37593588198 56390382297 75187176396 106515166561 112780764594 213030333122 225561529188 319545499683 426060666244 639090999366 958636499049 1278181998732 1917272998098 3834545996196