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20320024242 = 2379715731769
BaseRepresentation
bin10010111011001010…
…101111011010110010
31221110010201011222110
4102323022233122302
5313103411233432
613200200350150
71316356233120
oct227312573262
957403634873
1020320024242
11868813aa71
123b31175356
131bbaa96bab
14daa9cc910
157dddd2dcc
hex4bb2af6b2

20320024242 has 64 divisors (see below), whose sum is σ = 47224961280. Its totient is φ = 5709090816.

The previous prime is 20320024189. The next prime is 20320024271. The reversal of 20320024242 is 24242002302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623734 + ... + 655502.

It is an arithmetic number, because the mean of its divisors is an integer number (737890020).

Almost surely, 220320024242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20320024242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23612480640).

20320024242 is an abundant number, since it is smaller than the sum of its proper divisors (26904937038).

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

20320024242 is a wasteful number, since it uses less digits than its factorization.

20320024242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32035.

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 20320024242 its reverse (24242002302), we get a palindrome (44562026544).

The spelling of 20320024242 in words is "twenty billion, three hundred twenty million, twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 97 157 194 291 314 471 582 679 942 1099 1358 2037 2198 3297 4074 6594 15229 30458 31769 45687 63538 91374 95307 106603 190614 213206 222383 319809 444766 639618 667149 1334298 3081593 4987733 6163186 9244779 9975466 14963199 18489558 21571151 29926398 34914131 43142302 64713453 69828262 104742393 129426906 209484786 483810101 967620202 1451430303 2902860606 3386670707 6773341414 10160012121 20320024242