Search a number
-
+
329693250768 = 24371229798397
BaseRepresentation
bin1001100110000110011…
…11111100010011010000
31011111222220000110021120
410303003033330103100
520400202433011033
6411243050322240
732551051251510
oct4630317742320
91144886013246
10329693250768
11117905277072
1253a91729380
13251227a1b8b
1411d5893b840
1588993e41b3
hex4cc33fc4d0

329693250768 has 80 divisors (see below), whose sum is σ = 974173303680. Its totient is φ = 94121307648.

The previous prime is 329693250767. The next prime is 329693250787. The reversal of 329693250768 is 867052396923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329693250767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13746 + ... + 812142.

It is an arithmetic number, because the mean of its divisors is an integer number (12177166296).

Almost surely, 2329693250768 is an apocalyptic number.

It is an amenable number.

329693250768 is an abundant number, since it is smaller than the sum of its proper divisors (644480052912).

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

329693250768 is a wasteful number, since it uses less digits than its factorization.

329693250768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799644 (or 799638 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 329693250768 in words is "three hundred twenty-nine billion, six hundred ninety-three million, two hundred fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1229 2458 3687 4916 7374 8603 9832 14748 17206 19664 25809 29496 34412 51618 58992 68824 103236 137648 206472 412944 798397 1596794 2395191 3193588 4790382 5588779 6387176 9580764 11177558 12774352 16766337 19161528 22355116 33532674 38323056 44710232 67065348 89420464 134130696 268261392 981229913 1962459826 2943689739 3924919652 5887379478 6868609391 7849839304 11774758956 13737218782 15699678608 20605828173 23549517912 27474437564 41211656346 47099035824 54948875128 82423312692 109897750256 164846625384 329693250768