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8082161136 = 243273163633
BaseRepresentation
bin1111000011011101…
…11111110111110000
3202212021000022210100
413201232333313300
5113023013124021
63413552432400
7404166144000
oct74156776760
922767008710
108082161136
113478195315
121696848700
139ba57c08a
14569574000
15324829626
hex1e1bbfdf0

8082161136 has 120 divisors (see below), whose sum is σ = 26377800800. Its totient is φ = 2309174784.

The previous prime is 8082161117. The next prime is 8082161137. The reversal of 8082161136 is 6311612808.

8082161136 is a `hidden beast` number, since 8 + 0 + 8 + 2 + 1 + 611 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8082161136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8082161137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32425 + ... + 131208.

Almost surely, 28082161136 is an apocalyptic number.

It is an amenable number.

8082161136 is an abundant number, since it is smaller than the sum of its proper divisors (18295639664).

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

8082161136 is a wasteful number, since it uses less digits than its factorization.

8082161136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163668 (or 163645 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8082161136 is about 89900.8405744907. The cubic root of 8082161136 is about 2006.8234550889.

The spelling of 8082161136 in words is "eight billion, eighty-two million, one hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2744 3087 3528 4116 5488 6174 7056 8232 12348 16464 24696 49392 163633 327266 490899 654532 981798 1145431 1309064 1472697 1963596 2290862 2618128 2945394 3436293 3927192 4581724 5890788 6872586 7854384 8018017 9163448 10308879 11781576 13745172 16036034 18326896 20617758 23563152 24054051 27490344 32072068 41235516 48108102 54980688 56126119 64144136 72162153 82471032 96216204 112252238 128288272 144324306 164942064 168378357 192432408 224504476 288648612 336756714 384864816 449008952 505135071 577297224 673513428 898017904 1010270142 1154594448 1347026856 2020540284 2694053712 4041080568 8082161136