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21648300712 = 2319229534877
BaseRepresentation
bin10100001010010101…
…101101101010101000
32001212201002121202021
4110022111231222220
5323313431110322
613540050114224
71364315343223
oct241225555250
961781077667
1021648300712
1191a99a0815
124241b7b974
1320700224bc
1410951905ba
1586a80b4c7
hex50a56daa8

21648300712 has 96 divisors (see below), whose sum is σ = 45161987400. Its totient is φ = 9712055808.

The previous prime is 21648300703. The next prime is 21648300719. The reversal of 21648300712 is 21700384612.

It can be written as a sum of positive squares in 4 ways, for example, as 18641533156 + 3006767556 = 136534^2 + 54834^2 .

It is not an unprimeable number, because it can be changed into a prime (21648300719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4436418 + ... + 4441294.

Almost surely, 221648300712 is an apocalyptic number.

It is an amenable number.

21648300712 is an abundant number, since it is smaller than the sum of its proper divisors (23513686688).

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

21648300712 is a wasteful number, since it uses less digits than its factorization.

21648300712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5003 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 21648300712 in words is "twenty-one billion, six hundred forty-eight million, three hundred thousand, seven hundred twelve".

Divisors: 1 2 4 8 19 29 38 53 58 76 106 116 152 212 232 361 424 551 722 1007 1102 1444 1537 2014 2204 2888 3074 4028 4408 4877 6148 8056 9754 10469 12296 19133 19508 20938 29203 38266 39016 41876 58406 76532 83752 92663 116812 141433 153064 185326 233624 258481 282866 370652 516962 554857 565732 741304 1033924 1109714 1131464 1760597 2067848 2219428 2687227 3521194 4438856 4911139 5374454 7042388 7495949 9822278 10748908 14084776 14991898 19644556 21497816 29983796 39289112 51057313 59967592 93311641 102114626 142423031 186623282 204229252 284846062 373246564 408458504 569692124 746493128 1139384248 2706037589 5412075178 10824150356 21648300712