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170407968025 = 52825612
BaseRepresentation
bin1001111010110100011…
…0110011110100011001
3121021212000122201001011
42132231012303310121
510242443414434100
6210141230053521
715211603554211
oct2365506636431
9537760581034
10170407968025
11662a6945629
122903934a2a1
13130b9628399
148367d13241
154675584bba
hex27ad1b3d19

170407968025 has 9 divisors (see below), whose sum is σ = 211308439773. Its totient is φ = 136324723200.

The previous prime is 170407967993. The next prime is 170407968053. The reversal of 170407968025 is 520869704071.

The square root of 170407968025 is 412805.

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 8317987209 + 162089980816 = 91203^2 + 402604^2 .

It is not a de Polignac number, because 170407968025 - 25 = 170407967993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 170407968025.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2022745 + ... + 2105305.

Almost surely, 2170407968025 is an apocalyptic number.

170407968025 is the 412805-th square number.

170407968025 is the 206403-rd centered octagonal number.

It is an amenable number.

170407968025 is a deficient number, since it is larger than the sum of its proper divisors (40900471748).

170407968025 is an frugal number, since it uses more digits than its factorization.

170407968025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165132 (or 82566 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

Multiplying 170407968025 by its sum of digits (49), we get a square (8349990433225 = 28896352).

The spelling of 170407968025 in words is "one hundred seventy billion, four hundred seven million, nine hundred sixty-eight thousand, twenty-five".

Divisors: 1 5 25 82561 412805 2064025 6816318721 34081593605 170407968025