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2136473136 = 243272638059
BaseRepresentation
bin111111101010111…
…1111111000110000
312111220011002011200
41333111333320300
513333414120021
6552000011200
7103641502440
oct17725777060
95456132150
102136473136
119a6a8a986
124b7600b00
1328081b2b5
14163a62120
15c786e126
hex7f57fe30

2136473136 has 120 divisors (see below), whose sum is σ = 6860156160. Its totient is φ = 608024448.

The previous prime is 2136473117. The next prime is 2136473149. The reversal of 2136473136 is 6313746312.

2136473136 is a `hidden beast` number, since 2 + 1 + 3 + 647 + 3 + 1 + 3 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2136473136.

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, 261075 + ... + 269133.

It is an arithmetic number, because the mean of its divisors is an integer number (57167968).

Almost surely, 22136473136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136473136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430078080).

2136473136 is an abundant number, since it is smaller than the sum of its proper divisors (4723683024).

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

2136473136 is a wasteful number, since it uses less digits than its factorization.

2136473136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8343 (or 8334 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 2136473136 is about 46221.9983990307. The cubic root of 2136473136 is about 1287.9504211720.

The spelling of 2136473136 in words is "two billion, one hundred thirty-six million, four hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 263 336 504 526 789 1008 1052 1578 1841 2104 2367 3156 3682 4208 4734 5523 6312 7364 8059 9468 11046 12624 14728 16118 16569 18936 22092 24177 29456 32236 33138 37872 44184 48354 56413 64472 66276 72531 88368 96708 112826 128944 132552 145062 169239 193416 225652 265104 290124 338478 386832 451304 507717 580248 676956 902608 1015434 1160496 1353912 2030868 2119517 2707824 4061736 4239034 6358551 8123472 8478068 12717102 14836619 16956136 19075653 25434204 29673238 33912272 38151306 44509857 50868408 59346476 76302612 89019714 101736816 118692952 133529571 152605224 178039428 237385904 267059142 305210448 356078856 534118284 712157712 1068236568 2136473136