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20533142406 = 2372326191493
BaseRepresentation
bin10011000111110111…
…101110001110000110
31221222222201201010210
4103013313232032012
5314022441024111
613233252300250
71324554554640
oct230767561606
957888651123
1020533142406
118787472887
123b90611686
131c22c9510a
14dcb027890
1580297e0a6
hex4c7dee386

20533142406 has 96 divisors (see below), whose sum is σ = 49174352640. Its totient is φ = 5598724032.

The previous prime is 20533142369. The next prime is 20533142407. The reversal of 20533142406 is 60424133502.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20533142407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13752196 + ... + 13753688.

It is an arithmetic number, because the mean of its divisors is an integer number (512232840).

Almost surely, 220533142406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20533142406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24587176320).

20533142406 is an abundant number, since it is smaller than the sum of its proper divisors (28641210234).

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

20533142406 is a wasteful number, since it uses less digits than its factorization.

20533142406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 20533142406 its reverse (60424133502), we get a palindrome (80957275908).

The spelling of 20533142406 in words is "twenty billion, five hundred thirty-three million, one hundred forty-two thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 529 619 966 1058 1238 1493 1587 1857 2986 3174 3703 3714 4333 4479 7406 8666 8958 10451 11109 12999 14237 20902 22218 25998 28474 31353 34339 42711 62706 68678 85422 99659 103017 199318 206034 240373 298977 327451 480746 597954 654902 721119 789797 924167 982353 1442238 1579594 1848334 1964706 2292157 2369391 2772501 4584314 4738782 5528579 5545002 6469169 6876471 11057158 12938338 13752942 16585737 19407507 21255841 33171474 38815014 42511682 63767523 127535046 148790887 297581774 446372661 488884343 892745322 977768686 1466653029 2933306058 3422190401 6844380802 10266571203 20533142406