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13221924688 = 247417339443
BaseRepresentation
bin11000101000001011…
…01000111101010000
31021010110101100220101
430110011220331100
5204034303042223
610023555422144
7645436335250
oct142405507520
937113340811
1013221924688
115675482795
12268bbb4954
13132936449b
148d6017960
15525b8c4ad
hex314168f50

13221924688 has 80 divisors (see below), whose sum is σ = 30402804096. Its totient is φ = 5452462080.

The previous prime is 13221924671. The next prime is 13221924701. The reversal of 13221924688 is 88642912231.

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, 315495 + ... + 354937.

Almost surely, 213221924688 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 13221924688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201402048).

13221924688 is an abundant number, since it is smaller than the sum of its proper divisors (17180879408).

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

13221924688 is a wasteful number, since it uses less digits than its factorization.

13221924688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39572 (or 39566 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The spelling of 13221924688 in words is "thirteen billion, two hundred twenty-one million, nine hundred twenty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 56 73 82 112 146 164 287 292 328 511 574 584 656 1022 1148 1168 2044 2296 2993 4088 4592 5986 8176 11972 20951 23944 39443 41902 47888 78886 83804 157772 167608 276101 315544 335216 552202 631088 1104404 1617163 2208808 2879339 3234326 4417616 5758678 6468652 11320141 11517356 12937304 20155373 22640282 23034712 25874608 40310746 45280564 46069424 80621492 90561128 118052899 161242984 181122256 236105798 322485968 472211596 826370293 944423192 1652740586 1888846384 3305481172 6610962344 13221924688