Search a number
-
+
93166305444 = 22322587952929
BaseRepresentation
bin101011011000100100…
…1010000000010100100
322220110220211200122100
41112301021100002210
53011301033233234
6110444445132100
76505514346522
oct1266111200244
9286426750570
1093166305444
1136569a50253
121608125a030
138a29ac42b4
14471b635312
152654321399
hex15b12500a4

93166305444 has 18 divisors (see below), whose sum is σ = 235503716630. Its totient is φ = 31055435136.

The previous prime is 93166305439. The next prime is 93166305461. The reversal of 93166305444 is 44450366139.

93166305444 is a `hidden beast` number, since 9 + 3 + 1 + 6 + 630 + 5 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85118062500 + 8048242944 = 291750^2 + 89712^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 93166305444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1293976429 + ... + 1293976500.

Almost surely, 293166305444 is an apocalyptic number.

It is an amenable number.

93166305444 is an abundant number, since it is smaller than the sum of its proper divisors (142337411186).

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

93166305444 is a wasteful number, since it uses less digits than its factorization.

93166305444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587952939 (or 2587952934 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 93166305444 in words is "ninety-three billion, one hundred sixty-six million, three hundred five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2587952929 5175905858 7763858787 10351811716 15527717574 23291576361 31055435148 46583152722 93166305444