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35353232068 = 22721119738311
BaseRepresentation
bin100000111011001101…
…111000001011000100
310101020211100021020111
4200323031320023010
51034400411411233
624124022242404
72361041341300
oct407315701304
9111224307214
1035353232068
1113aa1a83570
126a27886404
13344546c03b
1419d53b8d00
15dbdaa6acd
hex83b3782c4

35353232068 has 72 divisors (see below), whose sum is σ = 78560967744. Its totient is φ = 13765348800.

The previous prime is 35353232063. The next prime is 35353232129. The reversal of 35353232068 is 86023235353.

It is a self number, because there is not a number n which added to its sum of digits gives 35353232068.

It is not an unprimeable number, because it can be changed into a prime (35353232063) 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, 4249633 + ... + 4257943.

It is an arithmetic number, because the mean of its divisors is an integer number (1091124552).

Almost surely, 235353232068 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 35353232068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39280483872).

35353232068 is an abundant number, since it is smaller than the sum of its proper divisors (43207735676).

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

35353232068 is a wasteful number, since it uses less digits than its factorization.

35353232068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10313 (or 10304 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 35353232068 in words is "thirty-five billion, three hundred fifty-three million, two hundred thirty-two thousand, sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 1973 2156 3946 7892 8311 13811 16622 21703 27622 33244 43406 55244 58177 86812 91421 96677 116354 151921 182842 193354 232708 303842 365684 386708 407239 607684 639947 814478 1063447 1279894 1628956 2126894 2559788 4253788 4479629 8959258 16397603 17918516 32795206 65590412 114783221 180373633 229566442 360747266 459132884 721494532 803482547 1262615431 1606965094 2525230862 3213930188 5050461724 8838308017 17676616034 35353232068