Search a number
-
+
541165610052 = 223247319837831
BaseRepresentation
bin1111101111111111111…
…10111110010001000100
31220201211202120101010200
413313333332332101010
532331301344010202
61052335201050500
754045405534234
oct7677776762104
91821752511120
10541165610052
11199563973631
1288a6b326a30
133c054843612
141c29a52bcc4
15e124b10e1c
hex7dfffbe444

541165610052 has 36 divisors (see below), whose sum is σ = 1397051650176. Its totient is φ = 176550482160.

The previous prime is 541165610017. The next prime is 541165610101. The reversal of 541165610052 is 250016561145.

541165610052 is a `hidden beast` number, since 5 + 41 + 1 + 6 + 561 + 0 + 0 + 52 = 666.

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 junction number, because it is equal to n+sod(n) for n = 541165609989 and 541165610016.

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, 159917224 + ... + 159920607.

Almost surely, 2541165610052 is an apocalyptic number.

It is an amenable number.

541165610052 is an abundant number, since it is smaller than the sum of its proper divisors (855886040124).

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

541165610052 is a wasteful number, since it uses less digits than its factorization.

541165610052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319837888 (or 319837883 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 541165610052 in words is "five hundred forty-one billion, one hundred sixty-five million, six hundred ten thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 319837831 639675662 959513493 1279351324 1919026986 2878540479 3838053972 5757080958 11514161916 15032378057 30064756114 45097134171 60129512228 90194268342 135291402513 180388536684 270582805026 541165610052