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13936945761 = 3212049128521
BaseRepresentation
bin11001111101011010…
…01110101001100001
31022222021211012102100
430332231032221201
5212020324231021
610222541041013
71002241040634
oct147655165141
938867735370
1013936945761
115a020516a2
12284b556169
13141153298b
14962d81c1b
1556882a626
hex33eb4ea61

13936945761 has 12 divisors (see below), whose sum is σ = 20132971300. Its totient is φ = 9290453760.

The previous prime is 13936945751. The next prime is 13936945793. The reversal of 13936945761 is 16754963931.

13936945761 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 69 + 4 + 576 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8805945600 + 5131000161 = 93840^2 + 71631^2 .

It is not a de Polignac number, because 13936945761 - 225 = 13903391329 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13936945698 and 13936945707.

It is not an unprimeable number, because it can be changed into a prime (13936945751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44181 + ... + 172701.

Almost surely, 213936945761 is an apocalyptic number.

It is an amenable number.

13936945761 is a deficient number, since it is larger than the sum of its proper divisors (6196025539).

13936945761 is a wasteful number, since it uses less digits than its factorization.

13936945761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140576 (or 140573 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 13936945761 in words is "thirteen billion, nine hundred thirty-six million, nine hundred forty-five thousand, seven hundred sixty-one".

Divisors: 1 3 9 12049 36147 108441 128521 385563 1156689 1548549529 4645648587 13936945761