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1361305657 = 41197168541
BaseRepresentation
bin101000100100011…
…1110000000111001
310111212112111022001
41101020332000321
510241443240112
6343025301001
745506623105
oct12110760071
93455474261
101361305657
116394700a8
1231ba94761
1318905130a
14ccb1c905
157e79ec57
hex5123e039

1361305657 has 8 divisors (see below), whose sum is σ = 1401595272. Its totient is φ = 1321353600.

The previous prime is 1361305639. The next prime is 1361305667. The reversal of 1361305657 is 7565031631.

It can be written as a sum of positive squares in 4 ways, for example, as 664556841 + 696748816 = 25779^2 + 26396^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1361305657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1361305667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76194 + ... + 92347.

It is an arithmetic number, because the mean of its divisors is an integer number (175199409).

Almost surely, 21361305657 is an apocalyptic number.

It is an amenable number.

1361305657 is a deficient number, since it is larger than the sum of its proper divisors (40289615).

1361305657 is a wasteful number, since it uses less digits than its factorization.

1361305657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168779.

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 1361305657 is about 36895.8758806455. The cubic root of 1361305657 is about 1108.2860915562.

The spelling of 1361305657 in words is "one billion, three hundred sixty-one million, three hundred five thousand, six hundred fifty-seven".

Divisors: 1 41 197 8077 168541 6910181 33202577 1361305657