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24313013216 = 25174310310091
BaseRepresentation
bin10110101001001010…
…110010001111100000
32022202102020001002222
4112221022302033200
5344243112410331
615100320130212
71520333126312
oct265112621740
968672201088
1024313013216
11a347075758
124866466968
1323a610236b
1412690397b2
15974720b7b
hex5a92b23e0

24313013216 has 96 divisors (see below), whose sum is σ = 52369244928. Its totient is φ = 11065743360.

The previous prime is 24313013143. The next prime is 24313013287. The reversal of 24313013216 is 61231031342.

It is a super-2 number, since 2×243130132162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2404331 + ... + 2414421.

It is an arithmetic number, because the mean of its divisors is an integer number (545512968).

Almost surely, 224313013216 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 24313013216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26184622464).

24313013216 is an abundant number, since it is smaller than the sum of its proper divisors (28056231712).

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

24313013216 is a wasteful number, since it uses less digits than its factorization.

24313013216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10264 (or 10256 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 24313013216 its reverse (61231031342), we get a palindrome (85544044558).

The spelling of 24313013216 in words is "twenty-four billion, three hundred thirteen million, thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 103 136 172 206 272 344 412 544 688 731 824 1376 1462 1648 1751 2924 3296 3502 4429 5848 7004 8858 10091 11696 14008 17716 20182 23392 28016 35432 40364 56032 70864 75293 80728 141728 150586 161456 171547 301172 322912 343094 433913 602344 686188 867826 1039373 1204688 1372376 1735652 2078746 2409376 2744752 3471304 4157492 5489504 6942608 7376521 8314984 13885216 14753042 16629968 17669341 29506084 33259936 35338682 44693039 59012168 70677364 89386078 118024336 141354728 178772156 236048672 282709456 357544312 565418912 715088624 759781663 1430177248 1519563326 3039126652 6078253304 12156506608 24313013216