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35428882453 = 1744913813361
BaseRepresentation
bin100000111111101110…
…011101100000010101
310101110002200201001121
4200333232131200111
51040024243214303
624135323523541
72362650350326
oct407756354025
9111402621047
1035428882453
1114030753848
126a490895b1
133458038693
141a0146c44d
15dc554b9bd
hex83fb9d815

35428882453 has 16 divisors (see below), whose sum is σ = 37634900400. Its totient is φ = 33236582400.

The previous prime is 35428882381. The next prime is 35428882477.

35428882453 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 3337026289 + 32091856164 = 57767^2 + 179142^2 .

It is a cyclic number.

It is not a de Polignac number, because 35428882453 - 217 = 35428751381 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 35428882453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35428882483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10539493 + ... + 10542853.

It is an arithmetic number, because the mean of its divisors is an integer number (2352181275).

Almost surely, 235428882453 is an apocalyptic number.

It is an amenable number.

35428882453 is a deficient number, since it is larger than the sum of its proper divisors (2206017947).

35428882453 is a wasteful number, since it uses less digits than its factorization.

35428882453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208.

The product of its digits is 7372800, while the sum is 52.

The spelling of 35428882453 in words is "thirty-five billion, four hundred twenty-eight million, eight hundred eighty-two thousand, four hundred fifty-three".

Divisors: 1 17 449 1381 3361 7633 23477 57137 620069 1509089 4641541 10541173 25654513 78906197 2084051909 35428882453