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216033105528 = 233229226945599
BaseRepresentation
bin1100100100110010010…
…0111001011001111000
3202122121201101211112200
43021030210321121320
512014413433334103
6243124431110200
721415334045622
oct3111444713170
9678551354480
10216033105528
118368a068739
1235a51072360
13174aabc6a76
14a6555cdc12
155945d090a3
hex324c939678

216033105528 has 96 divisors (see below), whose sum is σ = 605545200000. Its totient is φ = 69495729408.

The previous prime is 216033105479. The next prime is 216033105551. The reversal of 216033105528 is 825501330612.

216033105528 is a `hidden beast` number, since 2 + 1 + 60 + 33 + 10 + 552 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216033105492 and 216033105501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4714873 + ... + 4760471.

It is an arithmetic number, because the mean of its divisors is an integer number (6307762500).

Almost surely, 2216033105528 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 216033105528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302772600000).

216033105528 is an abundant number, since it is smaller than the sum of its proper divisors (389512094472).

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

216033105528 is a wasteful number, since it uses less digits than its factorization.

216033105528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47909 (or 47902 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 216033105528 in words is "two hundred sixteen billion, thirty-three million, one hundred five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 2269 4538 6807 9076 13614 18152 20421 27228 40842 45599 54456 65801 81684 91198 131602 136797 163368 182396 197403 263204 273594 364792 394806 410391 526408 547188 592209 789612 820782 1094376 1184418 1322371 1579224 1641564 2368836 2644742 3283128 3967113 4737672 5289484 7934226 10578968 11901339 15868452 23802678 31736904 47605356 95210712 103464131 206928262 310392393 413856524 620784786 827713048 931177179 1241569572 1862354358 2483139144 3000459799 3724708716 6000919598 7449417432 9001379397 12001839196 18002758794 24003678392 27004138191 36005517588 54008276382 72011035176 108016552764 216033105528