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36400410061 is a prime number
BaseRepresentation
bin100001111001101000…
…100010110111001101
310110221210210102101121
4201321220202313031
51044022001110221
624415551040541
72426015244331
oct417150426715
9113853712347
1036400410061
111448a09a924
12707a510151
1335813b6ca2
141a944c77c1
15e309a6a41
hex879a22dcd

36400410061 has 2 divisors, whose sum is σ = 36400410062. Its totient is φ = 36400410060.

The previous prime is 36400410043. The next prime is 36400410071. The reversal of 36400410061 is 16001400463.

36400410061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32643455625 + 3756954436 = 180675^2 + 61294^2 .

It is a cyclic number.

It is not a de Polignac number, because 36400410061 - 223 = 36392021453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36400410071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18200205030 + 18200205031.

It is an arithmetic number, because the mean of its divisors is an integer number (18200205031).

Almost surely, 236400410061 is an apocalyptic number.

It is an amenable number.

36400410061 is a deficient number, since it is larger than the sum of its proper divisors (1).

36400410061 is an equidigital number, since it uses as much as digits as its factorization.

36400410061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 36400410061 in words is "thirty-six billion, four hundred million, four hundred ten thousand, sixty-one".