Search a number
-
+
20245684346352 = 2433118139682481
BaseRepresentation
bin1001001101001110100001…
…10100101101110111110000
32122200110122112220102221000
410212213100310231313300
510123201130143040402
6111020423342202000
74156462634351013
oct446472064556760
978613575812830
1020245684346352
1164a6168011883
12232b8ba883300
13b3b2102323ca
144ddc7982d37a
15251983d77c1c
hex1269d0d2ddf0

20245684346352 has 80 divisors (see below), whose sum is σ = 58161820217760. Its totient is φ = 6742847001600.

The previous prime is 20245684346219. The next prime is 20245684346417. The reversal of 20245684346352 is 25364348654202.

20245684346352 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 56 + 84 + 3 + 463 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19331049 + ... + 20351432.

It is an arithmetic number, because the mean of its divisors is an integer number (727022752722).

Almost surely, 220245684346352 is an apocalyptic number.

It is an amenable number.

20245684346352 is an abundant number, since it is smaller than the sum of its proper divisors (37916135871408).

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

20245684346352 is a wasteful number, since it uses less digits than its factorization.

20245684346352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39683679 (or 39683667 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 20245684346352 in words is "twenty trillion, two hundred forty-five billion, six hundred eighty-four million, three hundred forty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1181 2362 3543 4724 7086 9448 10629 14172 18896 21258 28344 31887 42516 56688 63774 85032 127548 170064 255096 510192 39682481 79364962 119047443 158729924 238094886 317459848 357142329 476189772 634919696 714284658 952379544 1071426987 1428569316 1904759088 2142853974 2857138632 4285707948 5714277264 8571415896 17142831792 46865010061 93730020122 140595030183 187460040244 281190060366 374920080488 421785090549 562380120732 749840160976 843570181098 1124760241464 1265355271647 1687140362196 2249520482928 2530710543294 3374280724392 5061421086588 6748561448784 10122842173176 20245684346352