Search a number
-
+
192219988041 = 3259224772
BaseRepresentation
bin1011001100000100110…
…1000100000001001001
3200101011010211010110100
42303001031010001021
511122131304104131
6224145445240013
716613250640254
oct2630115040111
9611133733410
10192219988041
117457a199054
1231306103009
13151845411c3
149436b2009b
1550004307e6
hex2cc1344049

192219988041 has 27 divisors (see below), whose sum is σ = 282550876231. Its totient is φ = 125923823664.

The previous prime is 192219988019. The next prime is 192219988069. The reversal of 192219988041 is 140889912291.

The square root of 192219988041 is 438429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 96494103225 + 95725884816 = 310635^2 + 309396^2 .

It is not a de Polignac number, because 192219988041 - 27 = 192219987913 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (192219988001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77600695 + ... + 77603171.

Almost surely, 2192219988041 is an apocalyptic number.

192219988041 is the 438429-th square number.

192219988041 is the 219215-th centered octagonal number.

It is an amenable number.

192219988041 is a deficient number, since it is larger than the sum of its proper divisors (90330888190).

192219988041 is an frugal number, since it uses more digits than its factorization.

192219988041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 192219988041 in words is "one hundred ninety-two billion, two hundred nineteen million, nine hundred eighty-eight thousand, forty-one".

Divisors: 1 3 9 59 177 531 2477 3481 7431 10443 22293 31329 146143 438429 1315287 6135529 8622437 18406587 25867311 55219761 77601933 361996211 1085988633 3257965899 21357776449 64073329347 192219988041