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21052440264 = 23329372513257
BaseRepresentation
bin10011100110110100…
…101011111011001000
32000100011212202212210
4103212310223323020
5321103411042024
613401002505120
71343461534602
oct234664537310
960304782783
1021052440264
118a2360aa69
1240b65051a0
131ca6745b5b
141039da4172
1583335a129
hex4e6d2bec8

21052440264 has 128 divisors (see below), whose sum is σ = 56157494400. Its totient is φ = 6564096000.

The previous prime is 21052440259. The next prime is 21052440317. The reversal of 21052440264 is 46204425012.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6462124 + ... + 6465380.

It is an arithmetic number, because the mean of its divisors is an integer number (438730425).

Almost surely, 221052440264 is an apocalyptic number.

21052440264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21052440264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28078747200).

21052440264 is an abundant number, since it is smaller than the sum of its proper divisors (35105054136).

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

21052440264 is a wasteful number, since it uses less digits than its factorization.

21052440264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 21052440264 its reverse (46204425012), we get a palindrome (67256865276).

The spelling of 21052440264 in words is "twenty-one billion, fifty-two million, four hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 37 58 74 87 111 116 148 174 222 232 251 296 348 444 502 696 753 888 1004 1073 1506 2008 2146 3012 3219 3257 4292 6024 6438 6514 7279 8584 9287 9771 12876 13028 14558 18574 19542 21837 25752 26056 27861 29116 37148 39084 43674 55722 58232 74296 78168 87348 94453 111444 120509 174696 188906 222888 241018 269323 283359 361527 377812 482036 538646 566718 723054 755624 807969 817507 964072 1077292 1133436 1446108 1615938 1635014 2154584 2266872 2452521 2892216 3231876 3270028 3494761 4905042 6463752 6540056 6989522 9810084 10484283 13979044 19620168 20968566 23707703 27958088 30247759 41937132 47415406 60495518 71123109 83874264 90743277 94830812 120991036 142246218 181486554 189661624 241982072 284492436 362973108 568984872 725946216 877185011 1754370022 2631555033 3508740044 5263110066 7017480088 10526220132 21052440264