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2136420246312 = 233211322293391
BaseRepresentation
bin11111000101101100100…
…100011110001100101000
321120020110210121101211100
4133011230210132030220
5240000342040340222
64313242524201400
7310231325315502
oct37055444361450
97506423541740
102136420246312
11754061595000
122a6076999260
131266045b4801
14755908bcd72
153a88e7db4ac
hex1f16c91e328

2136420246312 has 96 divisors (see below), whose sum is σ = 6364317548160. Its totient is φ = 647400045600.

The previous prime is 2136420246299. The next prime is 2136420246329.

2136420246312 is a `hidden beast` number, since 2 + 1 + 3 + 642 + 0 + 2 + 4 + 6 + 3 + 1 + 2 = 666.

2136420246312 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11050864 + ... + 11242527.

It is an arithmetic number, because the mean of its divisors is an integer number (66294974460).

Almost surely, 22136420246312 is an apocalyptic number.

2136420246312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2136420246312 is an abundant number, since it is smaller than the sum of its proper divisors (4227897301848).

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

2136420246312 is a wasteful number, since it uses less digits than its factorization.

2136420246312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22293436 (or 22293407 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2136420246312 in words is "two trillion, one hundred thirty-six billion, four hundred twenty million, two hundred forty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1331 1452 2178 2662 2904 3993 4356 5324 7986 8712 10648 11979 15972 23958 31944 47916 95832 22293391 44586782 66880173 89173564 133760346 178347128 200640519 245227301 267520692 401281038 490454602 535041384 735681903 802562076 980909204 1471363806 1605124152 1961818408 2207045709 2697500311 2942727612 4414091418 5395000622 5885455224 8092500933 8828182836 10790001244 16185001866 17656365672 21580002488 24277502799 29672503421 32370003732 48555005598 59345006842 64740007464 89017510263 97110011196 118690013684 178035020526 194220022392 237380027368 267052530789 356070041052 534105061578 712140082104 1068210123156 2136420246312