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2136584385 = 345132631543
BaseRepresentation
bin111111101011001…
…1011000011000001
312111220100201210000
41333112123003001
513333431200020
6552002230213
7103642444665
oct17726330301
95456321700
102136584385
119a7056521
124b7655369
13280859b20
14163a908a5
15c7892090
hex7f59b0c1

2136584385 has 80 divisors (see below), whose sum is σ = 4143009024. Its totient is φ = 1047178368.

The previous prime is 2136584383. The next prime is 2136584399. The reversal of 2136584385 is 5834856312.

2136584385 is a `hidden beast` number, since 2 + 1 + 36 + 584 + 38 + 5 = 666.

It is not a de Polignac number, because 2136584385 - 21 = 2136584383 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2136584385.

It is not an unprimeable number, because it can be changed into a prime (2136584383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1383924 + ... + 1385466.

Almost surely, 22136584385 is an apocalyptic number.

It is an amenable number.

2136584385 is a deficient number, since it is larger than the sum of its proper divisors (2006424639).

2136584385 is a wasteful number, since it uses less digits than its factorization.

2136584385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1827 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 2136584385 is about 46223.2018038560. The cubic root of 2136584385 is about 1287.9727758816.

The spelling of 2136584385 in words is "two billion, one hundred thirty-six million, five hundred eighty-four thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 263 351 405 585 789 1053 1315 1543 1755 2367 3419 3945 4629 5265 7101 7715 10257 11835 13887 17095 20059 21303 23145 30771 35505 41661 51285 60177 69435 92313 100295 106515 124983 153855 180531 208305 276939 300885 405809 461565 541593 624915 902655 1217427 1384695 1624779 2029045 2707965 3652281 5275517 6087135 8123895 10956843 15826551 18261405 26377585 32870529 47479653 54784215 79132755 142438959 164352645 237398265 427316877 712194795 2136584385