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21161616016 = 2419374145887
BaseRepresentation
bin10011101101010101…
…001010001010010000
32000121210022110212011
4103231111022022100
5321314333203031
613415502512304
71346255524342
oct235525121220
960553273764
1021161616016
118a7a1a9362
124126b95694
131cc324cca8
14104a6a3292
1583cc236b1
hex4ed54a290

21161616016 has 80 divisors (see below), whose sum is σ = 45407093760. Its totient is φ = 9514920960.

The previous prime is 21161616011. The next prime is 21161616017. The reversal of 21161616016 is 61061616112.

It is not an unprimeable number, because it can be changed into a prime (21161616011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438225 + ... + 484111.

It is an arithmetic number, because the mean of its divisors is an integer number (567588672).

Almost surely, 221161616016 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 21161616016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22703546880).

21161616016 is an abundant number, since it is smaller than the sum of its proper divisors (24245477744).

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

21161616016 is a wasteful number, since it uses less digits than its factorization.

21161616016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45992 (or 45986 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 21161616016 in words is "twenty-one billion, one hundred sixty-one million, six hundred sixteen thousand, sixteen".

Divisors: 1 2 4 8 16 19 37 38 41 74 76 82 148 152 164 296 304 328 592 656 703 779 1406 1517 1558 2812 3034 3116 5624 6068 6232 11248 12136 12464 24272 28823 45887 57646 91774 115292 183548 230584 367096 461168 734192 871853 1697819 1743706 1881367 3395638 3487412 3762734 6791276 6974824 7525468 13582552 13949648 15050936 27165104 30101872 32258561 35745973 64517122 69610579 71491946 129034244 139221158 142983892 258068488 278442316 285967784 516136976 556884632 571935568 1113769264 1322601001 2645202002 5290404004 10580808008 21161616016