Search a number
-
+
20829208112289 = 331747965522093
BaseRepresentation
bin1001011110001101011011…
…00011001110110010100001
32201202020211022211002022000
410233012231203032302201
510212231204234043124
6112144450041434213
74246601123464143
oct457065543166241
981666738732260
1020829208112289
116700687a65905
122404a0b79b969
13b81255552b95
145201d37b4c93
15261c374cd6c9
hex12f1ad8ceca1

20829208112289 has 32 divisors (see below), whose sum is σ = 33368443568640. Its totient is φ = 12791236674816.

The previous prime is 20829208112281. The next prime is 20829208112329. The reversal of 20829208112289 is 98221180292802.

It is a happy number.

20829208112289 is a `hidden beast` number, since 20 + 8 + 29 + 208 + 112 + 289 = 666.

It is not a de Polignac number, because 20829208112289 - 23 = 20829208112281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20829208112281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 482739474 + ... + 482782619.

It is an arithmetic number, because the mean of its divisors is an integer number (1042763861520).

Almost surely, 220829208112289 is an apocalyptic number.

It is an amenable number.

20829208112289 is a deficient number, since it is larger than the sum of its proper divisors (12539235456351).

20829208112289 is a wasteful number, since it uses less digits than its factorization.

20829208112289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965522166 (or 965522160 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 20829208112289 in words is "twenty trillion, eight hundred twenty-nine billion, two hundred eight million, one hundred twelve thousand, two hundred eighty-nine".

Divisors: 1 3 9 17 27 47 51 141 153 423 459 799 1269 2397 7191 21573 965522093 2896566279 8689698837 16413875581 26069096511 45379538371 49241626743 136138615113 147724880229 408415845339 443174640687 771452152307 1225247536017 2314356456921 6943069370763 20829208112289