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209146825097 = 726169972173
BaseRepresentation
bin1100001011001000011…
…1110100100110001001
3201222211210122112200022
43002302013310212021
511411313041400342
6240025234150225
721052565452400
oct3026207644611
9658753575608
10209146825097
1180775a26291
123464aa22375
1316951329212
14a1a0bd6637
1556914a49d2
hex30b21f4989

209146825097 has 12 divisors (see below), whose sum is σ = 247281662916. Its totient is φ = 176329873440.

The previous prime is 209146825093. The next prime is 209146825117. The reversal of 209146825097 is 790528641902.

It can be written as a sum of positive squares in 2 ways, for example, as 18578780416 + 190568044681 = 136304^2 + 436541^2 .

It is not a de Polignac number, because 209146825097 - 22 = 209146825093 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (209146825093) 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 11 ways as a sum of consecutive naturals, for example, 34983098 + ... + 34989075.

It is an arithmetic number, because the mean of its divisors is an integer number (20606805243).

Almost surely, 2209146825097 is an apocalyptic number.

It is an amenable number.

209146825097 is a deficient number, since it is larger than the sum of its proper divisors (38134837819).

209146825097 is an equidigital number, since it uses as much as digits as its factorization.

209146825097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69972248 (or 69972241 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 209146825097 in words is "two hundred nine billion, one hundred forty-six million, eight hundred twenty-five thousand, ninety-seven".

Divisors: 1 7 49 61 427 2989 69972173 489805211 3428636477 4268302553 29878117871 209146825097