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35063686009 = 1122925872
BaseRepresentation
bin100000101001111101…
…010110001101111001
310100111122111210201101
4200221331112031321
51033302300423014
624035200251401
72350624261552
oct405175261571
9110448453641
1035063686009
111396359a300
126966910b61
1333ca491601
1419a8b67329
15da3460474
hex829f56379

35063686009 has 27 divisors (see below), whose sum is σ = 39984022351. Its totient is φ = 30724472240.

The previous prime is 35063685977. The next prime is 35063686051. The reversal of 35063686009 is 90068636053.

The square root of 35063686009 is 187253.

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., 18386546409 + 16677139600 = 135597^2 + 129140^2 .

It is not a de Polignac number, because 35063686009 - 25 = 35063685977 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 35063686009.

It is not an unprimeable number, because it can be changed into a prime (35063686069) 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 26 ways as a sum of consecutive naturals, for example, 59733414 + ... + 59734000.

Almost surely, 235063686009 is an apocalyptic number.

35063686009 is the 187253-rd square number.

35063686009 is the 93627-th centered octagonal number.

It is an amenable number.

35063686009 is a deficient number, since it is larger than the sum of its proper divisors (4920336342).

35063686009 is an frugal number, since it uses more digits than its factorization.

35063686009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

It can be divided in two parts, 350636 and 86009, that added together give a triangular number (436645 = T934).

The spelling of 35063686009 in words is "thirty-five billion, sixty-three million, six hundred eighty-six thousand, nine".

Divisors: 1 11 29 121 319 587 841 3509 6457 9251 17023 71027 101761 187253 344569 493667 2059783 3790259 5430337 9992501 41692849 59733707 109917511 289782529 1209092621 3187607819 35063686009