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36050645142 = 23223732295209
BaseRepresentation
bin100001100100110010…
…010011000010010110
310110001102122112010100
4201210302103002112
51042312431121032
624321134234530
72414240266461
oct414462230226
9113042575110
1036050645142
111431a716306
126ba1355a46
133526ab3ab5
141a5dc7c2d8
15e0ee1797c
hex864c93096

36050645142 has 96 divisors (see below), whose sum is σ = 82999051200. Its totient is φ = 11285277696.

The previous prime is 36050645131. The next prime is 36050645149. The reversal of 36050645142 is 24154605063.

36050645142 is a `hidden beast` number, since 3 + 6 + 0 + 5 + 0 + 645 + 1 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36050645097 and 36050645106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36050645149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6918234 + ... + 6923442.

It is an arithmetic number, because the mean of its divisors is an integer number (864573450).

Almost surely, 236050645142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36050645142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41499525600).

36050645142 is an abundant number, since it is smaller than the sum of its proper divisors (46948406058).

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

36050645142 is a wasteful number, since it uses less digits than its factorization.

36050645142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 36050645142 in words is "thirty-six billion, fifty million, six hundred forty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 73 138 146 207 219 229 414 438 458 657 687 1314 1374 1679 2061 3358 4122 5037 5209 5267 10074 10418 10534 15111 15627 15801 16717 30222 31254 31602 33434 46881 47403 50151 93762 94806 100302 119807 150453 239614 300906 359421 380257 384491 718842 760514 768982 1078263 1140771 1153473 1192861 2156526 2281542 2306946 2385722 3422313 3460419 3578583 6844626 6920838 7157166 8745911 10735749 17491822 21471498 26237733 27435803 52475466 54871606 78713199 82307409 87078853 157426398 164614818 174157706 246922227 261236559 493844454 522473118 783709677 1567419354 2002813619 4005627238 6008440857 12016881714 18025322571 36050645142