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36405341461 is a prime number
BaseRepresentation
bin100001111001111011…
…010110110100010101
310110222011001222000001
4201321323112310111
51044024231411321
624420244451301
72426105203516
oct417173266425
9113864058001
1036405341461
1114491958965
1270800a9b31
133582422788
141a9500ca0d
15e3112cc91
hex879ed6d15

36405341461 has 2 divisors, whose sum is σ = 36405341462. Its totient is φ = 36405341460.

The previous prime is 36405341447. The next prime is 36405341471. The reversal of 36405341461 is 16414350463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30050222500 + 6355118961 = 173350^2 + 79719^2 .

It is a cyclic number.

It is not a de Polignac number, because 36405341461 - 27 = 36405341333 is a prime.

It is a super-2 number, since 2×364053414612 (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 36405341461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36405341431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18202670730 + 18202670731.

It is an arithmetic number, because the mean of its divisors is an integer number (18202670731).

Almost surely, 236405341461 is an apocalyptic number.

It is an amenable number.

36405341461 is a deficient number, since it is larger than the sum of its proper divisors (1).

36405341461 is an equidigital number, since it uses as much as digits as its factorization.

36405341461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 36405341461 in words is "thirty-six billion, four hundred five million, three hundred forty-one thousand, four hundred sixty-one".