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875027414041 = 11227723072
BaseRepresentation
bin11001011101110111011…
…00101011110000011001
310002122121011110021102021
430232323230223300121
5103314024004222131
61505552042134441
7120134665204324
oct14567354536031
93078534407367
10875027414041
11308108188400
12121704ab1421
136468cb30821
14304cc9377bb
1517b64e71e11
hexcbbbb2bc19

875027414041 has 27 divisors (see below), whose sum is σ = 968446269567. Its totient is φ = 790025916240.

The previous prime is 875027414039. The next prime is 875027414083. The reversal of 875027414041 is 140414720578.

The square root of 875027414041 is 935429.

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

It can be written as a sum of positive squares in only one way, i.e., 150819606025 + 724207808016 = 388355^2 + 851004^2 .

It is not a de Polignac number, because 875027414041 - 21 = 875027414039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (875027414011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2850252010 + ... + 2850252316.

Almost surely, 2875027414041 is an apocalyptic number.

875027414041 is the 935429-th square number.

875027414041 is the 467715-th centered octagonal number.

It is an amenable number.

875027414041 is a deficient number, since it is larger than the sum of its proper divisors (93418855526).

875027414041 is an frugal number, since it uses more digits than its factorization.

875027414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 43.

The spelling of 875027414041 in words is "eight hundred seventy-five billion, twenty-seven million, four hundred fourteen thousand, forty-one".

Divisors: 1 11 121 277 307 3047 3377 33517 37147 76729 85039 94249 844019 935429 1036739 9284209 10289719 11404129 23555803 26106973 259113833 287176703 2850252163 3158943733 7231631521 79547946731 875027414041