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20465782113717 = 3217691193579279
BaseRepresentation
bin1001010011101000011111…
…01011000100010110110101
32200110111202112200111021200
410221310033223010112311
510140302410210114332
6111305503413203113
74211414105454663
oct451641753042665
980414675614250
1020465782113717
116580542509076
1223664a5030499
13b55bb826a705
1450a798ba5c33
1525756692b17c
hex129d0fac45b5

20465782113717 has 24 divisors (see below), whose sum is σ = 31345905651840. Its totient is φ = 12822691374720.

The previous prime is 20465782113713. The next prime is 20465782113781. The reversal of 20465782113717 is 71731128756402.

20465782113717 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 57 + 8 + 211 + 371 + 7 = 666.

It is not a de Polignac number, because 20465782113717 - 22 = 20465782113713 is a prime.

It is a super-2 number, since 2×204657821137172 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20465782113713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96683917 + ... + 96895362.

It is an arithmetic number, because the mean of its divisors is an integer number (1306079402160).

Almost surely, 220465782113717 is an apocalyptic number.

It is an amenable number.

20465782113717 is a deficient number, since it is larger than the sum of its proper divisors (10880123538123).

20465782113717 is a wasteful number, since it uses less digits than its factorization.

20465782113717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193579993 (or 193579990 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 20465782113717 in words is "twenty trillion, four hundred sixty-five billion, seven hundred eighty-two million, one hundred thirteen thousand, seven hundred seventeen".

Divisors: 1 3 9 17 51 153 691 2073 6219 11747 35241 105723 193579279 580737837 1742213511 3290847743 9872543229 29617629687 133763281789 401289845367 1203869536101 2273975790413 6821927371239 20465782113717