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885290928201 = 321721929712
BaseRepresentation
bin11001110000111110111…
…00111000100001001001
310010122002110001211000100
430320133130320201021
5104001033434200301
61514410321000013
7120650222505201
oct14703734704111
93118073054010
10885290928201
113114a4716509
121236aa183009
13656372b2924
1430bc3a93401
1518066033286
hexce1f738849

885290928201 has 81 divisors (see below), whose sum is σ = 1435134677223. Its totient is φ = 525699089280.

The previous prime is 885290928169. The next prime is 885290928211. The reversal of 885290928201 is 102829092588.

It is a happy number.

The square root of 885290928201 is 940899.

It is a perfect power (a square), and thus also a powerful number.

885290928201 is a `hidden beast` number, since 8 + 8 + 529 + 0 + 92 + 8 + 20 + 1 = 666.

885290928201 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 only one way, i.e., 689240342025 + 196050586176 = 830205^2 + 442776^2 .

It is not a de Polignac number, because 885290928201 - 25 = 885290928169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (885290928211) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 911730646 + ... + 911731616.

Almost surely, 2885290928201 is an apocalyptic number.

885290928201 is the 940899-th square number.

885290928201 is the 470450-th centered octagonal number.

It is an amenable number.

885290928201 is a deficient number, since it is larger than the sum of its proper divisors (549843749022).

885290928201 is an equidigital number, since it uses as much as digits as its factorization.

885290928201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 885290928201 in words is "eight hundred eighty-five billion, two hundred ninety million, nine hundred twenty-eight thousand, two hundred one".

Divisors: 1 3 9 17 19 51 57 153 171 289 323 361 867 969 971 1083 2601 2907 2913 3249 5491 6137 8739 16473 16507 18411 18449 49419 49521 55233 55347 104329 148563 166041 280619 312987 313633 350531 841857 938961 940899 942841 1051593 2525571 2822697 2828523 3154779 5331761 5959027 8485569 15995283 16028297 17877081 17913979 47985849 48084891 53631243 53741937 101303459 144254673 161225811 272481049 303910377 304537643 340365601 817443147 911731131 913612929 1021096803 2452329441 2740838787 3063290409 5177139931 5786215217 15531419793 17358645651 46594259379 52075936953 98365658689 295096976067 885290928201