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13774682905 = 517834634217
BaseRepresentation
bin11001101010000100…
…01111101100011001
31022112222111101121221
430311002033230121
5211202304323110
610154503132041
7665230605244
oct146502175431
938488441557
1013774682905
1159294a4165
122805144021
1313b6a2c259
149495c425b
155594777da
hex33508fb19

13774682905 has 32 divisors (see below), whose sum is σ = 17755282944. Its totient is φ = 10222012416.

The previous prime is 13774682897. The next prime is 13774682917. The reversal of 13774682905 is 50928647731.

13774682905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13774682905 - 23 = 13774682897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3264357 + ... + 3268573.

It is an arithmetic number, because the mean of its divisors is an integer number (554852592).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13774682905 = 27549365810, but 3⋅13774682905 = 41324048715 is not.

Almost surely, 213774682905 is an apocalyptic number.

It is an amenable number.

13774682905 is a deficient number, since it is larger than the sum of its proper divisors (3980600039).

13774682905 is a wasteful number, since it uses less digits than its factorization.

13774682905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 13774682905 in words is "thirteen billion, seven hundred seventy-four million, six hundred eighty-two thousand, nine hundred five".

Divisors: 1 5 17 83 85 415 463 1411 2315 4217 7055 7871 21085 38429 39355 71689 192145 350011 358445 653293 1750055 1952471 3266465 5950187 9762355 29750935 33192007 162055093 165960035 810275465 2754936581 13774682905