Search a number
-
+
54435286080 = 2632572700163
BaseRepresentation
bin110010101100100110…
…001000110001000000
312012111200121001022200
4302230212020301000
51342440413123310
641001321033200
73634646203650
oct625446106100
9165450531280
1054435286080
11210a433313a
12a672325800
135196908a66
1428c57d2360
151638e4d9c0
hexcac988c40

54435286080 has 168 divisors, whose sum is σ = 213982596672. Its totient is φ = 12442346496.

The previous prime is 54435286001. The next prime is 54435286093. The reversal of 54435286080 is 8068253445.

54435286080 is a `hidden beast` number, since 5 + 4 + 4 + 35 + 2 + 8 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×544352860802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 1329922 + ... + 1370241.

Almost surely, 254435286080 is an apocalyptic number.

It is an amenable number.

54435286080 is an abundant number, since it is smaller than the sum of its proper divisors (159547310592).

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

54435286080 is a wasteful number, since it uses less digits than its factorization.

54435286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700193 (or 2700180 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 54435286080 in words is "fifty-four billion, four hundred thirty-five million, two hundred eighty-six thousand, eighty".