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361322052444 = 223210036723679
BaseRepresentation
bin1010100001000000111…
…10001111101101011100
31021112122011012001111200
411100200132033231130
521404441421134234
6433553345315500
735050616525343
oct5204036175534
91245564161450
10361322052444
1112a265973991
125a03a035b90
13280c3445442
14136b9416b5a
1595eb00ad99
hex542078fb5c

361322052444 has 18 divisors (see below), whose sum is σ = 913341854880. Its totient is φ = 120440684136.

The previous prime is 361322052433. The next prime is 361322052463. The reversal of 361322052444 is 444250223163.

361322052444 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 2 + 205 + 2 + 444 = 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: 10036723679 = 361322052444 / (3 + 6 + 1 + 3 + 2 + 2 + 0 + 5 + 2 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 361322052399 and 361322052408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5018361804 + ... + 5018361875.

It is an arithmetic number, because the mean of its divisors is an integer number (50741214160).

Almost surely, 2361322052444 is an apocalyptic number.

It is an amenable number.

361322052444 is an abundant number, since it is smaller than the sum of its proper divisors (552019802436).

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

361322052444 is a wasteful number, since it uses less digits than its factorization.

361322052444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10036723689 (or 10036723684 counting only the distinct ones).

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

The spelling of 361322052444 in words is "three hundred sixty-one billion, three hundred twenty-two million, fifty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 10036723679 20073447358 30110171037 40146894716 60220342074 90330513111 120440684148 180661026222 361322052444