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3356385217936 = 24412111712
BaseRepresentation
bin110000110101111000001…
…001100000110110010000
3102212212102020221011011021
4300311320021200312100
5414442334103433221
611045522503325224
7464330232425062
oct60657011406620
912785366834137
103356385217936
111084486a55843
124625a6750814
131b467623149a
14b86427b1732
155c492124041
hex30d78260d90

3356385217936 has 45 divisors (see below), whose sum is σ = 6666071285569. Its totient is φ = 1637114518400.

The previous prime is 3356385217921. The next prime is 3356385217937. The reversal of 3356385217936 is 6397125836533.

The square root of 3356385217936 is 1832044.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 161729448336 + 3194655769600 = 402156^2 + 1787360^2 .

It is a super-2 number, since 2×33563852179362 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3356385217937) 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 8 ways as a sum of consecutive naturals, for example, 300449631 + ... + 300460801.

Almost surely, 23356385217936 is an apocalyptic number.

3356385217936 is the 1832044-th square number.

It is an amenable number.

3356385217936 is a deficient number, since it is larger than the sum of its proper divisors (3309686067633).

3356385217936 is an frugal number, since it uses more digits than its factorization.

3356385217936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22432 (or 11214 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 61.

The spelling of 3356385217936 in words is "three trillion, three hundred fifty-six billion, three hundred eighty-five million, two hundred seventeen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 41 82 164 328 656 1681 3362 6724 11171 13448 22342 26896 44684 89368 178736 458011 916022 1832044 3664088 7328176 18778451 37556902 75113804 124791241 150227608 249582482 300455216 499164964 998329928 1996659856 5116440881 10232881762 20465763524 40931527048 81863054096 209774076121 419548152242 839096304484 1678192608968 3356385217936