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36163116 = 223211294767
BaseRepresentation
bin1000100111110…
…0111000101100
32112001021110200
42021330320230
533224204431
63331033500
7616244553
oct211747054
975037420
1036163116
111945a980
121013b890
1376522c2
144b34d9a
153294ee6
hex227ce2c

36163116 has 144 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 10200960.

The previous prime is 36163091. The next prime is 36163121. The reversal of 36163116 is 61136163.

It is a happy number.

36163116 is a `hidden beast` number, since 3 + 616 + 31 + 16 = 666.

36163116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36163116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539715 + ... + 539781.

It is an arithmetic number, because the mean of its divisors is an integer number (742560).

Almost surely, 236163116 is an apocalyptic number.

36163116 is a gapful number since it is divisible by the number (36) 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 36163116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

36163116 is an abundant number, since it is smaller than the sum of its proper divisors (70765524).

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

36163116 is a wasteful number, since it uses less digits than its factorization.

36163116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 36163116 is about 6013.5776373137. The cubic root of 36163116 is about 330.6906746537.

Adding to 36163116 its reverse (61136163), we get a palindrome (97299279).

The spelling of 36163116 in words is "thirty-six million, one hundred sixty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 47 58 66 67 87 94 99 116 132 134 141 174 188 198 201 261 268 282 319 348 396 402 423 517 522 564 603 638 737 804 846 957 1034 1044 1206 1276 1363 1474 1551 1692 1914 1943 2068 2211 2412 2726 2871 2948 3102 3149 3828 3886 4089 4422 4653 5452 5742 5829 6204 6298 6633 7772 8178 8844 9306 9447 11484 11658 12267 12596 13266 14993 16356 17487 18612 18894 21373 23316 24534 26532 28341 29986 34639 34974 37788 42746 44979 49068 56682 59972 64119 69278 69948 85492 89958 91321 103917 113364 128238 134937 138556 179916 182642 192357 207834 256476 269874 273963 311751 365284 384714 415668 539748 547926 623502 769428 821889 1004531 1095852 1247004 1643778 2009062 3013593 3287556 4018124 6027186 9040779 12054372 18081558 36163116