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35286495409 = 112170772
BaseRepresentation
bin100000110111001111…
…010011000010110001
310101002011202200202101
4200313033103002301
51034231320323114
624113240020401
72356301155624
oct406717230261
9111064680671
1035286495409
1113a68341300
126a09461701
1334346a39a9
1419ca5a5dbb
15db7cc2d74
hex8373d30b1

35286495409 has 9 divisors (see below), whose sum is σ = 38788253931. Its totient is φ = 32076753720.

The previous prime is 35286495407. The next prime is 35286495473. The reversal of 35286495409 is 90459468253.

The square root of 35286495409 is 187847.

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., 15300453025 + 19986042384 = 123695^2 + 141372^2 .

It is not a de Polignac number, because 35286495409 - 21 = 35286495407 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 35286495409.

It is not an unprimeable number, because it can be changed into a prime (35286495401) 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 8 ways as a sum of consecutive naturals, for example, 2057779 + ... + 2074855.

Almost surely, 235286495409 is an apocalyptic number.

35286495409 is the 187847-th square number.

35286495409 is the 93924-th centered octagonal number.

It is an amenable number.

35286495409 is a deficient number, since it is larger than the sum of its proper divisors (3501758522).

35286495409 is an frugal number, since it uses more digits than its factorization.

35286495409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34176 (or 17088 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 35286495409 in words is "thirty-five billion, two hundred eighty-six million, four hundred ninety-five thousand, four hundred nine".

Divisors: 1 11 121 17077 187847 2066317 291623929 3207863219 35286495409