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20217564133 = 132477013631
BaseRepresentation
bin10010110101000011…
…111000101111100101
31221011222220200010121
4102311003320233211
5312401144023013
613142100321541
71314003313444
oct226503705745
957158820117
1020217564133
118635319198
123b029a32b1
131ba27a1700
14d9b15ad5b
157d4de458d
hex4b50f8be5

20217564133 has 24 divisors (see below), whose sum is σ = 22396248576. Its totient is φ = 18234216000.

The previous prime is 20217564089. The next prime is 20217564149. The reversal of 20217564133 is 33146571202.

It is not a de Polignac number, because 20217564133 - 225 = 20184009701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20217514133) 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, 5566228 + ... + 5569858.

It is an arithmetic number, because the mean of its divisors is an integer number (933177024).

Almost surely, 220217564133 is an apocalyptic number.

It is an amenable number.

20217564133 is a deficient number, since it is larger than the sum of its proper divisors (2178684443).

20217564133 is a wasteful number, since it uses less digits than its factorization.

20217564133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 20217564133 in words is "twenty billion, two hundred seventeen million, five hundred sixty-four thousand, one hundred thirty-three".

Divisors: 1 13 47 169 611 701 3631 7943 9113 32947 47203 118469 170657 428311 613639 2218541 2545331 5568043 28841033 33089303 119630557 430160939 1555197241 20217564133