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11661324345 = 32511414331327
BaseRepresentation
bin10101101110001000…
…11011000000111001
31010002200211122200200
422313010123000321
5142340244334340
65205050352413
7561656423106
oct126704330071
933080748620
1011661324345
114a44571640
12231542b709
13113ac44c28
147c8a5baad
15483b72330
hex2b711b039

11661324345 has 96 divisors (see below), whose sum is σ = 22657549824. Its totient is φ = 5499187200.

The previous prime is 11661324341. The next prime is 11661324349. The reversal of 11661324345 is 54342316611.

11661324345 is a `hidden beast` number, since 1 + 1 + 6 + 613 + 2 + 4 + 34 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (11661324341) and next prime (11661324349).

It is not a de Polignac number, because 11661324345 - 22 = 11661324341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11661324341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8787072 + ... + 8788398.

It is an arithmetic number, because the mean of its divisors is an integer number (236016144).

Almost surely, 211661324345 is an apocalyptic number.

11661324345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11661324345 is a deficient number, since it is larger than the sum of its proper divisors (10996225479).

11661324345 is a wasteful number, since it uses less digits than its factorization.

11661324345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1820 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 11661324345 in words is "eleven billion, six hundred sixty-one million, three hundred twenty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 123 165 205 369 433 451 495 615 1299 1327 1353 1845 2165 2255 3897 3981 4059 4763 6495 6635 6765 11943 14289 14597 17753 19485 19905 20295 23815 42867 43791 53259 54407 59715 71445 72985 88765 131373 159777 163221 195283 214335 218955 266295 272035 489663 574591 585849 598477 656865 798885 816105 976415 1723773 1757547 1795431 2448315 2872955 2929245 2992385 5171319 5386293 6320501 8618865 8787735 8977155 18961503 23558231 25856595 26931465 31602505 56884509 70674693 94807515 117791155 212024079 259140541 284422545 353373465 777421623 1060120395 1295702705 2332264869 3887108115 11661324345