Search a number
-
+
55130845321872 = 243223434719941389
BaseRepresentation
bin11001000100100001001100…
…11100111001101010010000
321020012110100101211102210100
430202100212130321222100
524211230432400244442
6313130432151132400
714420033512156005
oct1442204634715220
9236173311742710
1055130845321872
1116625950a205a1
126224888674100
13249ba7c84c908
14d884c08218ac
1565912e52084c
hex322426739a90

55130845321872 has 480 divisors, whose sum is σ = 169096891392000. Its totient is φ = 16719014366208.

The previous prime is 55130845321859. The next prime is 55130845321873. The reversal of 55130845321872 is 27812354803155.

55130845321872 is a `hidden beast` number, since 5 + 5 + 1 + 3 + 0 + 8 + 453 + 2 + 187 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (55130845321873) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1331996154 + ... + 1332037542.

It is an arithmetic number, because the mean of its divisors is an integer number (352285190400).

Almost surely, 255130845321872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55130845321872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84548445696000).

55130845321872 is an abundant number, since it is smaller than the sum of its proper divisors (113966046070128).

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

55130845321872 is a wasteful number, since it uses less digits than its factorization.

55130845321872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41715 (or 41706 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 55130845321872 in words is "fifty-five trillion, one hundred thirty billion, eight hundred forty-five million, three hundred twenty-one thousand, eight hundred seventy-two".