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350763616009 = 349216972
BaseRepresentation
bin1010001101010110010…
…01000000011100001001
31020112101022121220121101
411012223021000130021
521221330441203014
6425045533341401
734225151354002
oct5065311003411
91215338556541
10350763616009
11125837a0a364
1257b92037861
13270ccb52811
1412d9704a1a9
1591ce0e0474
hex51ab240709

350763616009 has 9 divisors (see below), whose sum is σ = 351978961557. Its totient is φ = 349552458624.

The previous prime is 350763615959. The next prime is 350763616033. The reversal of 350763616009 is 900616367053.

The square root of 350763616009 is 592253.

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 192541052025 + 158222563984 = 438795^2 + 397772^2 .

It is not a de Polignac number, because 350763616009 - 29 = 350763615497 is a prime.

It is a super-2 number, since 2×3507636160092 (a number of 24 digits) contains 22 as substring.

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 350763616009.

It is not an unprimeable number, because it can be changed into a prime (350763616409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 206695449 + ... + 206697145.

Almost surely, 2350763616009 is an apocalyptic number.

350763616009 is the 592253-rd square number.

350763616009 is the 296127-th centered octagonal number.

It is an amenable number.

350763616009 is a deficient number, since it is larger than the sum of its proper divisors (1215345548).

350763616009 is an frugal number, since it uses more digits than its factorization.

350763616009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The spelling of 350763616009 in words is "three hundred fifty billion, seven hundred sixty-three million, six hundred sixteen thousand, nine".

Divisors: 1 349 1697 121801 592253 2879809 206696297 1005053341 350763616009