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13820811428 = 2237593157477
BaseRepresentation
bin11001101111100100…
…01101100010100100
31022200012021222001202
430313302031202210
5211301111431203
610203231542032
7666330646604
oct146762154244
938605258052
1013820811428
115952540206
12281868a918
1313c3460438
14951790c04
1555d53a388
hex337c8d8a4

13820811428 has 24 divisors (see below), whose sum is σ = 24882153912. Its totient is φ = 6712257024.

The previous prime is 13820811427. The next prime is 13820811439. The reversal of 13820811428 is 82411802831.

13820811428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5656243264 + 8164568164 = 75208^2 + 90358^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13820811391 and 13820811400.

It is not an unprimeable number, because it can be changed into a prime (13820811427) 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 7 ways as a sum of consecutive naturals, for example, 9026 + ... + 166502.

It is an arithmetic number, because the mean of its divisors is an integer number (1036756413).

Almost surely, 213820811428 is an apocalyptic number.

It is an amenable number.

13820811428 is a deficient number, since it is larger than the sum of its proper divisors (11061342484).

13820811428 is a wasteful number, since it uses less digits than its factorization.

13820811428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158111 (or 158109 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The spelling of 13820811428 in words is "thirteen billion, eight hundred twenty million, eight hundred eleven thousand, four hundred twenty-eight".

Divisors: 1 2 4 37 74 148 593 1186 2372 21941 43882 87764 157477 314954 629908 5826649 11653298 23306596 93383861 186767722 373535444 3455202857 6910405714 13820811428