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216268170426 = 233711191272317
BaseRepresentation
bin1100100101101010010…
…1100110010010111010
3202200020002201100222000
43021122211212102322
512020404122423201
6243204025241430
721424220055210
oct3113245462272
9680202640860
10216268170426
118379a820450
1235ab7933276
131751780a519
14a6788dccb0
15595b78cd86
hex325a9664ba

216268170426 has 128 divisors (see below), whose sum is σ = 602323845120. Its totient is φ = 55879243200.

The previous prime is 216268170409. The next prime is 216268170511. The reversal of 216268170426 is 624071862612.

216268170426 is a `hidden beast` number, since 2 + 1 + 626 + 8 + 17 + 0 + 4 + 2 + 6 = 666.

216268170426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658020 + ... + 930336.

It is an arithmetic number, because the mean of its divisors is an integer number (4705655040).

Almost surely, 2216268170426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216268170426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301161922560).

216268170426 is an abundant number, since it is smaller than the sum of its proper divisors (386055674694).

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

216268170426 is a wasteful number, since it uses less digits than its factorization.

216268170426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272537 (or 272531 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 216268170426 in words is "two hundred sixteen billion, two hundred sixty-eight million, one hundred seventy thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 191 198 231 297 378 382 462 573 594 693 1146 1337 1386 1719 2079 2101 2674 3438 4011 4158 4202 5157 6303 8022 10314 12033 12606 14707 18909 24066 29414 36099 37818 44121 56727 72198 88242 113454 132363 264726 272317 397089 544634 794178 816951 1633902 1906219 2450853 2995487 3812438 4901706 5718657 5990974 7352559 8986461 11437314 14705118 17155971 17972922 20968409 26959383 34311942 41936818 51467913 52012547 53918766 62905227 80878149 102935826 104025094 125810454 156037641 161756298 188715681 312075282 364087829 377431362 468112923 566147043 572138017 728175658 936225846 1092263487 1132294086 1144276034 1404338769 1716414051 2184526974 2808677538 3276790461 3432828102 4004966119 5149242153 6553580922 8009932238 9830371383 10298484306 12014898357 15447726459 19660742766 24029796714 30895452918 36044695071 72089390142 108134085213 216268170426