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2112136688682 = 2331914913816193
BaseRepresentation
bin11110101111000101001…
…010000011010000101010
321110220210102210212012000
4132233011022003100222
5234101123443014212
64254145135231430
7305411500426416
oct36570512032052
97426712725160
102112136688682
11744830108809
122a141a378576
131242346266b7
147432974dd46
1539e1c9881dc
hex1ebc528342a

2112136688682 has 64 divisors (see below), whose sum is σ = 4973829840000. Its totient is φ = 662514038784.

The previous prime is 2112136688671. The next prime is 2112136688729. The reversal of 2112136688682 is 2868866312112.

2112136688682 is a `hidden beast` number, since 2 + 1 + 121 + 366 + 8 + 86 + 82 = 666.

It is a super-2 number, since 2×21121366886822 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6755223 + ... + 7060970.

It is an arithmetic number, because the mean of its divisors is an integer number (77716091250).

Almost surely, 22112136688682 is an apocalyptic number.

2112136688682 is an abundant number, since it is smaller than the sum of its proper divisors (2861693151318).

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

2112136688682 is a wasteful number, since it uses less digits than its factorization.

2112136688682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13816372 (or 13816366 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 2112136688682 in words is "two trillion, one hundred twelve billion, one hundred thirty-six million, six hundred eighty-eight thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 149 171 298 342 447 513 894 1026 1341 2682 2831 4023 5662 8046 8493 16986 25479 50958 76437 152874 13816193 27632386 41448579 82897158 124345737 248691474 262507667 373037211 525015334 746074422 787523001 1575046002 2058612757 2362569003 4117225514 4725138006 6175838271 7087707009 12351676542 14175414018 18527514813 37055029626 39113642383 55582544439 78227284766 111165088878 117340927149 234681854298 352022781447 704045562894 1056068344341 2112136688682