Search a number
-
+
20332633623302 = 27211132111606161
BaseRepresentation
bin1001001111110000011110…
…11001111000101100000110
32122222210002012022100202202
410213320033121320230012
510131112213201421202
6111124403303034502
74165661421123200
oct447701731705406
978883065270682
1020332633623302
11652a026678550
122344725a3ba32
13b46488cc0900
145041674bd770
15253d72491802
hex127e0f678b06

20332633623302 has 72 divisors (see below), whose sum is σ = 41909899529592. Its totient is φ = 7312435603200.

The previous prime is 20332633623299. The next prime is 20332633623329.

20332633623302 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 55620899 + ... + 55985262.

It is an arithmetic number, because the mean of its divisors is an integer number (582081937911).

Almost surely, 220332633623302 is an apocalyptic number.

20332633623302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20332633623302 is an abundant number, since it is smaller than the sum of its proper divisors (21577265906290).

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

20332633623302 is a wasteful number, since it uses less digits than its factorization.

20332633623302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111606214 (or 111606194 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 38.

It can be divided in two parts, 2033263 and 3623302, that added together give a palindrome (5656565).

The spelling of 20332633623302 in words is "twenty trillion, three hundred thirty-two billion, six hundred thirty-three million, six hundred twenty-three thousand, three hundred two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 169 182 286 338 539 637 1001 1078 1183 1274 1859 2002 2366 3718 7007 8281 13013 14014 16562 26026 91091 182182 111606161 223212322 781243127 1227667771 1450880093 1562486254 2455335542 2901760186 5468701889 8593674397 10156160651 10937403778 15959681023 17187348794 18861441209 20312321302 31919362046 37722882418 60155720779 71093124557 111717767161 120311441558 132030088463 142186249114 207475853299 223435534322 264060176926 414951706598 782024370127 924210619241 1452330973093 1564048740254 1848421238482 2904661946186 10166316811651 20332633623302