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870509526121 = 1727127732
BaseRepresentation
bin11001010101011100110…
…10010011110001101001
310002012221022020210022001
430222232122103301221
5103230300414313441
61503523452131001
7116615015612404
oct14525632236151
93065838223261
10870509526121
113061a9a2a334
12120863a66a61
136411cb33071
14301c08d2d3b
151799d4ed731
hexcaae693c69

870509526121 has 27 divisors (see below), whose sum is σ = 939150834373. Its totient is φ = 806718631040.

The previous prime is 870509526119. The next prime is 870509526157. The reversal of 870509526121 is 121625905078.

The square root of 870509526121 is 933011.

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

It can be written as a sum of positive squares in 4 ways, for example, as 47171061721 + 823338464400 = 217189^2 + 907380^2 .

It is not a de Polignac number, because 870509526121 - 21 = 870509526119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (870509526181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1126143891 + ... + 1126144663.

Almost surely, 2870509526121 is an apocalyptic number.

870509526121 is the 933011-st square number.

870509526121 is the 466506-th centered octagonal number.

It is an amenable number.

870509526121 is a deficient number, since it is larger than the sum of its proper divisors (68641308252).

870509526121 is an frugal number, since it uses more digits than its factorization.

870509526121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 870509526121 in words is "eight hundred seventy billion, five hundred nine million, five hundred twenty-six thousand, one hundred twenty-one".

Divisors: 1 17 71 289 773 1207 5041 13141 20519 54883 85697 223397 597529 933011 1456849 3896693 10157993 15861187 42424559 66243781 172685881 721217503 1126144277 3012143689 12260697551 51206442713 870509526121