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61461144181 is a prime number
BaseRepresentation
bin111001001111010111…
…101010001001110101
312212122022222121202101
4321033113222021311
52001333023103211
644122421342101
74304031051163
oct711727521165
9185568877671
1061461144181
112407a239338
12bab3267931
135a46396648
142d90960233
1518eab745c1
hexe4f5ea275

61461144181 has 2 divisors, whose sum is σ = 61461144182. Its totient is φ = 61461144180.

The previous prime is 61461144167. The next prime is 61461144233. The reversal of 61461144181 is 18144116416.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60992205156 + 468939025 = 246966^2 + 21655^2 .

It is a cyclic number.

It is not a de Polignac number, because 61461144181 - 29 = 61461143669 is a prime.

It is a super-2 number, since 2×614611441812 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61461144181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61461142181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30730572090 + 30730572091.

It is an arithmetic number, because the mean of its divisors is an integer number (30730572091).

Almost surely, 261461144181 is an apocalyptic number.

It is an amenable number.

61461144181 is a deficient number, since it is larger than the sum of its proper divisors (1).

61461144181 is an equidigital number, since it uses as much as digits as its factorization.

61461144181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18432, while the sum is 37.

The spelling of 61461144181 in words is "sixty-one billion, four hundred sixty-one million, one hundred forty-four thousand, one hundred eighty-one".