Search a number
-
+
36542642004 = 22321192279399
BaseRepresentation
bin100010000010000111…
…000111011101010100
310111022201102112221100
4202002013013131110
51044314404021004
624442031350100
72432363221611
oct420207073524
9114281375840
1036542642004
1114552406890
1270ba082330
1335a49c61bb
141aa934d508
15e3d1ee739
hex8821c7754

36542642004 has 36 divisors (see below), whose sum is σ = 100769104800. Its totient is φ = 11073527760.

The previous prime is 36542641997. The next prime is 36542642011. The reversal of 36542642004 is 40024624563.

36542642004 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 2 + 642 + 0 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (36542641997) and next prime (36542642011).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 36542642004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46139304 + ... + 46140095.

It is an arithmetic number, because the mean of its divisors is an integer number (2799141800).

Almost surely, 236542642004 is an apocalyptic number.

It is an amenable number.

36542642004 is an abundant number, since it is smaller than the sum of its proper divisors (64226462796).

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

36542642004 is a wasteful number, since it uses less digits than its factorization.

36542642004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92279420 (or 92279415 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 36542642004 in words is "thirty-six billion, five hundred forty-two million, six hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 92279399 184558798 276838197 369117596 553676394 830514591 1015073389 1107352788 1661029182 2030146778 3045220167 3322058364 4060293556 6090440334 9135660501 12180880668 18271321002 36542642004