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21016716512 = 251126781013
BaseRepresentation
bin10011100100101100…
…011010010011100000
32000020200122211002212
4103210230122103200
5321020234412022
613353245101252
71342546066661
oct234454322340
960220584085
1021016716512
118a05430200
1240a6557828
131c9c21883c
141035345368
158301503e2
hex4e4b1a4e0

21016716512 has 72 divisors (see below), whose sum is σ = 46159508808. Its totient is φ = 9410353920.

The previous prime is 21016716491. The next prime is 21016716547. The reversal of 21016716512 is 21561761012.

It is a super-2 number, since 2×210167165122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218918 + ... + 299930.

It is an arithmetic number, because the mean of its divisors is an integer number (641104289).

Almost surely, 221016716512 is an apocalyptic number.

21016716512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21016716512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23079754404).

21016716512 is an abundant number, since it is smaller than the sum of its proper divisors (25142792296).

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

21016716512 is a wasteful number, since it uses less digits than its factorization.

21016716512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81112 (or 81093 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 21016716512 in words is "twenty-one billion, sixteen million, seven hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 121 134 176 242 268 352 484 536 737 968 1072 1474 1936 2144 2948 3872 5896 8107 11792 16214 23584 32428 64856 81013 129712 162026 259424 324052 648104 891143 1296208 1782286 2592416 3564572 5427871 7129144 9802573 10855742 14258288 19605146 21711484 28516576 39210292 43422968 59706581 78420584 86845936 119413162 156841168 173691872 238826324 313682336 477652648 656772391 955305296 1313544782 1910610592 2627089564 5254179128 10508358256 21016716512