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116065162512 = 243213227327277
BaseRepresentation
bin110110000011000000…
…1011101010100010000
3102002120210002011012200
41230012001131110100
53400200140200022
6125153011123200
711246126413665
oct1540601352420
9362523064180
10116065162512
114524a838512
121a5b1ba3500
13ac38c2c670
145890915a6c
153044802bac
hex1b0605d510

116065162512 has 120 divisors (see below), whose sum is σ = 349974230424. Its totient is φ = 35695337472.

The previous prime is 116065162511. The next prime is 116065162513. The reversal of 116065162512 is 215261560611.

116065162512 is a `hidden beast` number, since 1 + 1 + 606 + 5 + 16 + 25 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (116065162511) and next prime (116065162513).

It can be written as a sum of positive squares in 4 ways, for example, as 8050396176 + 108014766336 = 89724^2 + 328656^2 .

It is a super-2 number, since 2×1160651625122 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (116065162511) 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, 4241418 + ... + 4268694.

Almost surely, 2116065162512 is an apocalyptic number.

116065162512 is a gapful number since it is divisible by the number (12) 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 116065162512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174987115212).

116065162512 is an abundant number, since it is smaller than the sum of its proper divisors (233909067912).

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

116065162512 is a wasteful number, since it uses less digits than its factorization.

116065162512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29577 (or 29568 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 116065162512 in words is "one hundred sixteen billion, sixty-five million, one hundred sixty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2273 4546 6819 9092 13638 18184 20457 27276 27277 29549 36368 40914 54552 54554 59098 81828 81831 88647 109104 109108 118196 163656 163662 177294 218216 236392 245493 265941 327312 327324 354588 354601 436432 472784 490986 531882 654648 709176 709202 981972 1063764 1063803 1309296 1418352 1418404 1963944 2127528 2127606 2836808 3191409 3927888 4255056 4255212 5673616 6382818 8510424 12765636 17020848 25531272 51062544 62000621 124001242 186001863 248002484 372003726 496004968 558005589 744007452 806008073 992009936 1116011178 1488014904 1612016146 2232022356 2418024219 2976029808 3224032292 4464044712 4836048438 6448064584 7254072657 8928089424 9672096876 12896129168 14508145314 19344193752 29016290628 38688387504 58032581256 116065162512