Search a number
-
+
20829099086271 = 3271972237525907
BaseRepresentation
bin1001011110001101001110…
…00011010101000110111111
32201202020112201122222201100
410233012213003111012333
510212230443331230041
6112144431144544143
74246565331000060
oct457064703250677
981666481588640
1020829099086271
116700631469a63
12240499b182053
13b81238a9bc48
145201c3114567
15261c2cb446b6
hex12f1a70d51bf

20829099086271 has 48 divisors (see below), whose sum is σ = 34714063448064. Its totient is φ = 11788819987392.

The previous prime is 20829099086269. The next prime is 20829099086317. The reversal of 20829099086271 is 17268099092802.

It is a happy number.

It is not a de Polignac number, because 20829099086271 - 21 = 20829099086269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 20829099086199 and 20829099086208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20829099086251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995301 + ... + 6530606.

It is an arithmetic number, because the mean of its divisors is an integer number (723209655168).

Almost surely, 220829099086271 is an apocalyptic number.

20829099086271 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20829099086271 is a deficient number, since it is larger than the sum of its proper divisors (13884964361793).

20829099086271 is a wasteful number, since it uses less digits than its factorization.

20829099086271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526340 (or 7526337 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 20829099086271 in words is "twenty trillion, eight hundred twenty-nine billion, ninety-nine million, eighty-six thousand, two hundred seventy-one".

Divisors: 1 3 7 9 21 63 197 223 591 669 1379 1561 1773 2007 4137 4683 12411 14049 43931 131793 307517 395379 922551 2767653 7525907 22577721 52681349 67733163 158044047 474132141 1482603679 1678277261 4447811037 5034831783 10378225753 11747940827 13343433111 15104495349 31134677259 35243822481 93404031777 105731467443 330620620417 991861861251 2314344342919 2975585583753 6943033028757 20829099086271