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20763541854 = 232111134092269
BaseRepresentation
bin10011010101100110…
…101000000101011110
31222121001021012202200
4103111212220011132
5320010431314404
613312202432330
71333353123306
oct232546500536
958531235680
1020763541854
118895529350
1240358026a6
131c5b934153
14100d880606
15817ce0839
hex4d59a815e

20763541854 has 96 divisors (see below), whose sum is σ = 49654706400. Its totient is φ = 6218311680.

The previous prime is 20763541853. The next prime is 20763541871. The reversal of 20763541854 is 45814536702.

20763541854 is a `hidden beast` number, since 2 + 0 + 7 + 635 + 4 + 1 + 8 + 5 + 4 = 666.

It is a super-2 number, since 2×207635418542 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20763541853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9149832 + ... + 9152100.

It is an arithmetic number, because the mean of its divisors is an integer number (517236525).

Almost surely, 220763541854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20763541854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24827353200).

20763541854 is an abundant number, since it is smaller than the sum of its proper divisors (28891164546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20763541854 is a wasteful number, since it uses less digits than its factorization.

20763541854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 20763541854 in words is "twenty billion, seven hundred sixty-three million, five hundred forty-one thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 113 198 226 339 409 678 818 1017 1227 1243 2034 2269 2454 2486 3681 3729 4499 4538 6807 7362 7458 8998 11187 13497 13614 20421 22374 24959 26994 40491 40842 46217 49918 74877 80982 92434 138651 149754 224631 256397 277302 415953 449262 508387 512794 769191 831906 928021 1016774 1525161 1538382 1856042 2307573 2784063 2820367 3050322 4575483 4615146 5568126 5640734 8352189 8461101 9150966 10208231 16704378 16922202 20416462 25383303 30624693 50766606 61249386 91874079 104866373 183748158 209732746 314599119 629198238 943797357 1153530103 1887594714 2307060206 3460590309 6921180618 10381770927 20763541854