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21816687312 = 243377214513
BaseRepresentation
bin10100010100011000…
…000011101011010000
32002022102221112202000
4110110120003223100
5324140032443222
614004503154000
71401431532240
oct242430035320
962272845660
1021816687312
119285a510a2
12428a445900
132098b8b344
1410ad6a3b20
1587a4bd9ac
hex514603ad0

21816687312 has 80 divisors (see below), whose sum is σ = 71567978880. Its totient is φ = 6233338368.

The previous prime is 21816687301. The next prime is 21816687331. The reversal of 21816687312 is 21378661812.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3604233 + ... + 3610280.

It is an arithmetic number, because the mean of its divisors is an integer number (894599736).

Almost surely, 221816687312 is an apocalyptic number.

It is an amenable number.

21816687312 is an abundant number, since it is smaller than the sum of its proper divisors (49751291568).

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

21816687312 is a wasteful number, since it uses less digits than its factorization.

21816687312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7214537 (or 7214525 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 21816687312 in words is "twenty-one billion, eight hundred sixteen million, six hundred eighty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 7214513 14429026 21643539 28858052 43287078 50501591 57716104 64930617 86574156 101003182 115432208 129861234 151504773 173148312 194791851 202006364 259722468 303009546 346296624 389583702 404012728 454514319 519444936 606019092 779167404 808025456 909028638 1038889872 1212038184 1363542957 1558334808 1818057276 2424076368 2727085914 3116669616 3636114552 5454171828 7272229104 10908343656 21816687312