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20340221264 = 2411677323629
BaseRepresentation
bin10010111100010111…
…110010010101010000
31221111112201022002022
4102330113302111100
5313124044040024
613202201311012
71320023012426
oct227427622520
957445638068
1020340221264
118698585320
123b37a95468
131bc2018bac
14dad569116
157e0a7235e
hex4bc5f2550

20340221264 has 80 divisors (see below), whose sum is σ = 44233091520. Its totient is φ = 8982420480.

The previous prime is 20340221263. The next prime is 20340221299. The reversal of 20340221264 is 46212204302.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20340221263) 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 15 ways as a sum of consecutive naturals, for example, 849002 + ... + 872630.

It is an arithmetic number, because the mean of its divisors is an integer number (552913644).

Almost surely, 220340221264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20340221264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22116545760).

20340221264 is an abundant number, since it is smaller than the sum of its proper divisors (23892870256).

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

20340221264 is a wasteful number, since it uses less digits than its factorization.

20340221264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23788 (or 23782 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 20340221264 its reverse (46212204302), we get a palindrome (66552425566).

The spelling of 20340221264 in words is "twenty billion, three hundred forty million, two hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 67 73 88 134 146 176 268 292 536 584 737 803 1072 1168 1474 1606 2948 3212 4891 5896 6424 9782 11792 12848 19564 23629 39128 47258 53801 78256 94516 107602 189032 215204 259919 378064 430408 519838 860816 1039676 1583143 1724917 2079352 3166286 3449834 4158704 6332572 6899668 12665144 13799336 17414573 18974087 25330288 27598672 34829146 37948174 69658292 75896348 115569439 139316584 151792696 231138878 278633168 303585392 462277756 924555512 1271263829 1849111024 2542527658 5085055316 10170110632 20340221264