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126340760061 = 3261230128889
BaseRepresentation
bin111010110101001111…
…1110000000111111101
3110002002220102121002200
41311222133300013331
54032221213310221
6134012400542113
712061561512225
oct1655237600775
9402086377080
10126340760061
1149643079a9a
122059b321939
13bbb5a526b9
1461874d9085
15344699e426
hex1d6a7f01fd

126340760061 has 12 divisors (see below), whose sum is σ = 185483885340. Its totient is φ = 82846399680.

The previous prime is 126340760047. The next prime is 126340760071. The reversal of 126340760061 is 160067043621.

It is a happy number.

126340760061 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 40 + 7 + 600 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1215847161 + 125124912900 = 34869^2 + 353730^2 .

It is not a de Polignac number, because 126340760061 - 214 = 126340743677 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126340759998 and 126340760025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126340760071) 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 11 ways as a sum of consecutive naturals, for example, 115063896 + ... + 115064993.

It is an arithmetic number, because the mean of its divisors is an integer number (15456990445).

Almost surely, 2126340760061 is an apocalyptic number.

It is an amenable number.

126340760061 is a deficient number, since it is larger than the sum of its proper divisors (59143125279).

126340760061 is a wasteful number, since it uses less digits than its factorization.

126340760061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230128956 (or 230128953 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 126340760061 in words is "one hundred twenty-six billion, three hundred forty million, seven hundred sixty thousand, sixty-one".

Divisors: 1 3 9 61 183 549 230128889 690386667 2071160001 14037862229 42113586687 126340760061