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16955921313 = 32113137121697
BaseRepresentation
bin11111100101010011…
…01101001110100001
31121202200120001022200
433302221231032201
5234211203440223
611442304123413
71140116644632
oct176251551641
947680501280
1016955921313
1172111a2711
123352606569
1317a2b2c246
14b6bcc7889
156938bba43
hex3f2a6d3a1

16955921313 has 24 divisors (see below), whose sum is σ = 24889188168. Its totient is φ = 11122040832.

The previous prime is 16955921273. The next prime is 16955921327. The reversal of 16955921313 is 31312955961.

16955921313 is a `hidden beast` number, since 1 + 69 + 559 + 2 + 1 + 31 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 453178944 + 16502742369 = 21288^2 + 128463^2 .

It is not a de Polignac number, because 16955921313 - 26 = 16955921249 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16955921383) 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 23 ways as a sum of consecutive naturals, for example, 78481 + ... + 200177.

It is an arithmetic number, because the mean of its divisors is an integer number (1037049507).

Almost surely, 216955921313 is an apocalyptic number.

It is an amenable number.

16955921313 is a deficient number, since it is larger than the sum of its proper divisors (7933266855).

16955921313 is a wasteful number, since it uses less digits than its factorization.

16955921313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121953 (or 121950 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The spelling of 16955921313 in words is "sixteen billion, nine hundred fifty-five million, nine hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 9 113 137 339 411 1017 1233 15481 46443 121697 139329 365091 1095273 13751761 16672489 41255283 50017467 123765849 150052401 1883991257 5651973771 16955921313