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36200136114 = 23347104913597
BaseRepresentation
bin100001101101101100…
…100011110110110010
310110102211221110012000
4201231230203312302
51043114213323424
624344034314430
72421034036302
oct415554436662
9113384843160
1036200136114
111439704006a
127023428a16
13354ba650ac
141a75a73602
15e1d0e63c9
hex86db23db2

36200136114 has 64 divisors (see below), whose sum is σ = 82240704000. Its totient is φ = 11797847424.

The previous prime is 36200136059. The next prime is 36200136253. The reversal of 36200136114 is 41163100263.

36200136114 is a `hidden beast` number, since 3 + 620 + 0 + 1 + 36 + 1 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 2655564 + ... + 2669160.

It is an arithmetic number, because the mean of its divisors is an integer number (1285011000).

Almost surely, 236200136114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36200136114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41120352000).

36200136114 is an abundant number, since it is smaller than the sum of its proper divisors (46040567886).

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

36200136114 is a wasteful number, since it uses less digits than its factorization.

36200136114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14704 (or 14698 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 36200136114 its reverse (41163100263), we get a palindrome (77363236377).

The spelling of 36200136114 in words is "thirty-six billion, two hundred million, one hundred thirty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1049 1269 2098 2538 3147 6294 9441 13597 18882 27194 28323 40791 49303 56646 81582 98606 122373 147909 244746 295818 367119 443727 639059 734238 887454 1278118 1331181 1917177 2662362 3834354 5751531 11503062 14263253 17254593 28526506 34509186 42789759 85579518 128369277 256738554 385107831 670372891 770215662 1340745782 2011118673 4022237346 6033356019 12066712038 18100068057 36200136114