Search a number
-
+
61259681197 = 11213101385589
BaseRepresentation
bin111001000011010111…
…001000110110101101
312212010021220020111101
4321003113020312231
52000424434244242
644050423323101
74266033461431
oct710327106655
9185107806441
1061259681197
1123a86547200
12ba578b0491
135a13719490
142d71cba9c1
1518d812b9b7
hexe435c8dad

61259681197 has 24 divisors (see below), whose sum is σ = 73232795160. Its totient is φ = 50897616000.

The previous prime is 61259681191. The next prime is 61259681221. The reversal of 61259681197 is 79118695216.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29696250276 + 31563430921 = 172326^2 + 177661^2 .

It is not a de Polignac number, because 61259681197 - 231 = 59112197549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61259681191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33922 + ... + 351667.

It is an arithmetic number, because the mean of its divisors is an integer number (3051366465).

Almost surely, 261259681197 is an apocalyptic number.

It is an amenable number.

61259681197 is a deficient number, since it is larger than the sum of its proper divisors (11973113963).

61259681197 is a wasteful number, since it uses less digits than its factorization.

61259681197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385725 (or 385714 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 55.

The spelling of 61259681197 in words is "sixty-one billion, two hundred fifty-nine million, six hundred eighty-one thousand, one hundred ninety-seven".

Divisors: 1 11 13 101 121 143 1111 1313 1573 12221 14443 158873 385589 4241479 5012657 38944489 46656269 55139227 428389379 506278357 606531497 4712283169 5569061927 61259681197