Search a number
-
+
36006390684 = 22321190925229
BaseRepresentation
bin100001100010001001…
…011110101110011100
310102221100101011102100
4201202021132232130
51042220114000214
624312513525100
72413162161645
oct414211365634
9112840334370
1036006390684
11142a773a280
126b8a573790
13351a88a924
141a5803c6cc
15e0b0c5309
hex86225eb9c

36006390684 has 36 divisors (see below), whose sum is σ = 99290351160. Its totient is φ = 10911027360.

The previous prime is 36006390671. The next prime is 36006390701. The reversal of 36006390684 is 48609360063.

36006390684 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 639 + 0 + 6 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 45462219 + ... + 45463010.

It is an arithmetic number, because the mean of its divisors is an integer number (2758065310).

Almost surely, 236006390684 is an apocalyptic number.

It is an amenable number.

36006390684 is an abundant number, since it is smaller than the sum of its proper divisors (63283960476).

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

36006390684 is a wasteful number, since it uses less digits than its factorization.

36006390684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90925250 (or 90925245 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 36006390684 in words is "thirty-six billion, six million, three hundred ninety thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 90925229 181850458 272775687 363700916 545551374 818327061 1000177519 1091102748 1636654122 2000355038 3000532557 3273308244 4000710076 6001065114 9001597671 12002130228 18003195342 36006390684