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21816035648 = 2611971671913
BaseRepresentation
bin10100010100010101…
…100100100101000000
32002022101201102211022
4110110111210211000
5324134401120043
614004441205012
71401423146321
oct242425444500
962271642738
1021816035648
119285646530
12428a190768
1320989c0844
1410ad574448
1587a3e0868
hex514564940

21816035648 has 112 divisors (see below), whose sum is σ = 48024434304. Its totient is φ = 9750282240.

The previous prime is 21816035623. The next prime is 21816035663. The reversal of 21816035648 is 84653061812.

It is a super-3 number, since 3×218160356483 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 21816035599 and 21816035608.

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, 11403140 + ... + 11405052.

It is an arithmetic number, because the mean of its divisors is an integer number (428789592).

Almost surely, 221816035648 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 21816035648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24012217152).

21816035648 is an abundant number, since it is smaller than the sum of its proper divisors (26208398656).

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

21816035648 is a wasteful number, since it uses less digits than its factorization.

21816035648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 21816035648 in words is "twenty-one billion, eight hundred sixteen million, thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 167 176 194 334 352 388 668 704 776 1067 1336 1552 1837 1913 2134 2672 3104 3674 3826 4268 5344 6208 7348 7652 8536 10688 14696 15304 16199 17072 21043 29392 30608 32398 34144 42086 58784 61216 64796 68288 84172 117568 122432 129592 168344 178189 185561 259184 319471 336688 356378 371122 518368 638942 673376 712756 742244 1036736 1277884 1346752 1425512 1484488 2041171 2555768 2851024 2968976 3514181 4082342 5111536 5702048 5937952 7028362 8164684 10223072 11404096 11875904 14056724 16329368 20446144 28113448 30988687 32658736 56226896 61977374 65317472 112453792 123954748 130634944 224907584 247909496 340875557 495818992 681751114 991637984 1363502228 1983275968 2727004456 5454008912 10908017824 21816035648