Search a number
-
+
364316141052 = 223210119892807
BaseRepresentation
bin1010100110100101110…
…11110010010111111100
31021211100211002111221100
411103102323302113330
521432104413003202
6435210423133100
735215044050553
oct5232273622774
91254324074840
10364316141052
11130561a66a86
125a7348a4190
132847c83a0c6
14138c0d20d9a
159723cd341c
hex54d2ef25fc

364316141052 has 18 divisors (see below), whose sum is σ = 920910245528. Its totient is φ = 121438713672.

The previous prime is 364316140967. The next prime is 364316141089. The reversal of 364316141052 is 250141613463.

364316141052 is a `hidden beast` number, since 3 + 6 + 4 + 31 + 614 + 1 + 0 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10119892807 = 364316141052 / (3 + 6 + 4 + 3 + 1 + 6 + 1 + 4 + 1 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 364316140998 and 364316141016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5059946368 + ... + 5059946439.

Almost surely, 2364316141052 is an apocalyptic number.

It is an amenable number.

364316141052 is an abundant number, since it is smaller than the sum of its proper divisors (556594104476).

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

364316141052 is a wasteful number, since it uses less digits than its factorization.

364316141052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10119892817 (or 10119892812 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 364316141052 in words is "three hundred sixty-four billion, three hundred sixteen million, one hundred forty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 10119892807 20239785614 30359678421 40479571228 60719356842 91079035263 121438713684 182158070526 364316141052