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20117670507405 = 325447059344609
BaseRepresentation
bin1001001001100000000101…
…00110101011001110001101
32122020020020001021122001200
410210300002212223032031
510114101442122214110
6110441532533300113
74144311425566452
oct444600246531615
978206201248050
1020117670507405
116456946597969
12230ab33194639
13b2c11b99ac03
144d79b4059829
1524d4905916c0
hex124c029ab38d

20117670507405 has 12 divisors (see below), whose sum is σ = 34870628879580. Its totient is φ = 10729424270592.

The previous prime is 20117670507397. The next prime is 20117670507421. The reversal of 20117670507405 is 50470507671102.

20117670507405 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 76 + 70 + 507 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7862202897444 + 12255467609961 = 2803962^2 + 3500781^2 .

It is not a de Polignac number, because 20117670507405 - 23 = 20117670507397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 447059344609 = 20117670507405 / (2 + 0 + 1 + 1 + 7 + 6 + 7 + 0 + 5 + 0 + 7 + 4 + 0 + 5).

It is a congruent number.

It is an unprimeable number.

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, 223529672260 + ... + 223529672349.

It is an arithmetic number, because the mean of its divisors is an integer number (2905885739965).

Almost surely, 220117670507405 is an apocalyptic number.

It is an amenable number.

20117670507405 is a deficient number, since it is larger than the sum of its proper divisors (14752958372175).

20117670507405 is a wasteful number, since it uses less digits than its factorization.

20117670507405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447059344620 (or 447059344617 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 20117670507405 in words is "twenty trillion, one hundred seventeen billion, six hundred seventy million, five hundred seven thousand, four hundred five".

Divisors: 1 3 5 9 15 45 447059344609 1341178033827 2235296723045 4023534101481 6705890169135 20117670507405