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3282150016 = 27179071663
BaseRepresentation
bin1100001110100001…
…1010001010000000
322110201221111101201
43003220122022000
523210212300031
61301403510544
7144222546325
oct30350321200
98421844351
103282150016
111434762982
12777228454
13403ca2702
14231c90b4c
15143228d61
hexc3a1a280

3282150016 has 64 divisors (see below), whose sum is σ = 6935086080. Its totient is φ = 1541910528.

The previous prime is 3282149989. The next prime is 3282150029. The reversal of 3282150016 is 6100512823.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1972801 + ... + 1974463.

It is an arithmetic number, because the mean of its divisors is an integer number (108360720).

Almost surely, 23282150016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3282150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467543040).

3282150016 is an abundant number, since it is smaller than the sum of its proper divisors (3652936064).

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

3282150016 is a wasteful number, since it uses less digits than its factorization.

3282150016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 3282150016 is about 57290.0516320242. The cubic root of 3282150016 is about 1486.1163392592.

Adding to 3282150016 its reverse (6100512823), we get a palindrome (9382662839).

The spelling of 3282150016 in words is "three billion, two hundred eighty-two million, one hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 907 1088 1663 1814 2176 3326 3628 6652 7256 13304 14512 15419 26608 28271 29024 30838 53216 56542 58048 61676 106432 113084 116096 123352 212864 226168 246704 452336 493408 904672 986816 1508341 1809344 1973632 3016682 3618688 6033364 12066728 24133456 25641797 48266912 51283594 96533824 102567188 193067648 205134376 410268752 820537504 1641075008 3282150016