Search a number
-
+
19961434665 = 345128938237
BaseRepresentation
bin10010100101110010…
…110101001000101001
31220112010221221120000
4102211302311020221
5311340111402130
613100430453213
71304443252344
oct224562651051
956463857500
1019961434665
118513789347
123a51064209
131b616c4103
14d7512745b
157bc69e260
hex4a5cb5229

19961434665 has 40 divisors (see below), whose sum is σ = 35811416520. Its totient is φ = 10637561088.

The previous prime is 19961434643. The next prime is 19961434699. The reversal of 19961434665 is 56643416991.

It is a happy number.

19961434665 is a `hidden beast` number, since 1 + 99 + 61 + 434 + 6 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4493289024 + 15468145641 = 67032^2 + 124371^2 .

It is not a de Polignac number, because 19961434665 - 26 = 19961434601 is a prime.

It is a super-3 number, since 3×199614346653 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 502927 + ... + 541163.

It is an arithmetic number, because the mean of its divisors is an integer number (895285413).

Almost surely, 219961434665 is an apocalyptic number.

19961434665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19961434665 is a deficient number, since it is larger than the sum of its proper divisors (15849981855).

19961434665 is a wasteful number, since it uses less digits than its factorization.

19961434665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39543 (or 39534 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 19961434665 in words is "nineteen billion, nine hundred sixty-one million, four hundred thirty-four thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 1289 3867 6445 11601 19335 34803 38237 58005 104409 114711 174015 191185 344133 522045 573555 1032399 1720665 3097197 5161995 15485985 49287493 147862479 246437465 443587437 739312395 1330762311 2217937185 3992286933 6653811555 19961434665