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136436044212 = 2232131877155317
BaseRepresentation
bin111111100010000111…
…0001101000110110100
3111001011110111011111200
41333010032031012310
54213410111403322
6142402225532500
712600004145436
oct1770416150664
9431143434450
10136436044212
1152953654436
12225381a4130
13cb343c2010
146864182656
153837dce8ac
hex1fc438d1b4

136436044212 has 72 divisors (see below), whose sum is σ = 371609497896. Its totient is φ = 41957685504.

The previous prime is 136436044181. The next prime is 136436044259. The reversal of 136436044212 is 212440634631.

136436044212 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 3 + 604 + 42 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47473437456 + 88962606756 = 217884^2 + 298266^2 .

It is a super-2 number, since 2×1364360442122 (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 a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 800778 + ... + 956094.

Almost surely, 2136436044212 is an apocalyptic number.

136436044212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136436044212 is an abundant number, since it is smaller than the sum of its proper divisors (235173453684).

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

136436044212 is a wasteful number, since it uses less digits than its factorization.

136436044212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157217 (or 157212 counting only the distinct ones).

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

Adding to 136436044212 its reverse (212440634631), we get a palindrome (348876678843).

The spelling of 136436044212 in words is "one hundred thirty-six billion, four hundred thirty-six million, forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1877 3754 5631 7508 11262 16893 22524 24401 33786 48802 67572 73203 97604 146406 155317 219609 292812 310634 439218 465951 621268 878436 931902 1397853 1863804 2019121 2795706 4038242 5591412 6057363 8076484 12114726 18172089 24229452 36344178 72688356 291530009 583060018 874590027 1166120036 1749180054 2623770081 3498360108 3789890117 5247540162 7579780234 10495080324 11369670351 15159560468 22739340702 34109011053 45478681404 68218022106 136436044212