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11145593217697 = 312411259224683
BaseRepresentation
bin1010001000110000100100…
…0111111110001010100001
31110110111201112222110022121
42202030021013332022201
52430102133330431242
635412114223304241
72230146122130631
oct242141107761241
943414645873277
1011145593217697
113607901896314
12130011074b081
1362b042a07403
142a76419646c1
15144dc8460667
hexa23091fe2a1

11145593217697 has 24 divisors (see below), whose sum is σ = 11807045339040. Its totient is φ = 10514578363200.

The previous prime is 11145593217673. The next prime is 11145593217713. The reversal of 11145593217697 is 79671239554111.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-11145593217697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11145593217617) 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 23 ways as a sum of consecutive naturals, for example, 49493518 + ... + 49718200.

It is an arithmetic number, because the mean of its divisors is an integer number (491960222460).

Almost surely, 211145593217697 is an apocalyptic number.

It is an amenable number.

11145593217697 is a deficient number, since it is larger than the sum of its proper divisors (661452121343).

11145593217697 is a wasteful number, since it uses less digits than its factorization.

11145593217697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226045 (or 226014 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 61.

The spelling of 11145593217697 in words is "eleven trillion, one hundred forty-five billion, five hundred ninety-three million, two hundred seventeen thousand, six hundred ninety-seven".

Divisors: 1 31 41 961 1259 1271 39029 39401 51619 224683 1209899 1600189 6965173 9212003 49605859 215920363 282875897 285572093 8769152807 8852734883 11597911777 271843737017 359535265087 11145593217697