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14685264132 = 22372112270449
BaseRepresentation
bin11011010110100111…
…10101100100000100
31101220102220201020120
431223103311210010
5220033411423012
610425112101540
71026625454100
oct155323654404
941812821216
1014685264132
1162564a3330
122a1a0948b0
13150058bc06
149d44d6900
155ae39458c
hex36b4f5904

14685264132 has 72 divisors (see below), whose sum is σ = 43483658400. Its totient is φ = 3814352640.

The previous prime is 14685264131. The next prime is 14685264157. The reversal of 14685264132 is 23146258641.

14685264132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (14685264131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1128757 + ... + 1141692.

It is an arithmetic number, because the mean of its divisors is an integer number (603939700).

Almost surely, 214685264132 is an apocalyptic number.

14685264132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14685264132 is an abundant number, since it is smaller than the sum of its proper divisors (28798394268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14685264132 is a wasteful number, since it uses less digits than its factorization.

14685264132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270481 (or 2270472 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The spelling of 14685264132 in words is "fourteen billion, six hundred eighty-five million, two hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 2270449 4540898 6811347 9081796 13622694 15893143 24974939 27245388 31786286 47679429 49949878 63572572 74924817 95358858 99899756 111252001 149849634 174824573 190717716 222504002 299699268 333756003 349649146 445008004 524473719 667512006 699298292 1048947438 1223772011 1335024012 2097894876 2447544022 3671316033 4895088044 7342632066 14685264132