Search a number
-
+
549338785920 = 27355192359137
BaseRepresentation
bin1111111111001110010…
…01001010100010000000
31221111221100211201200000
413333213021022202000
533000021212122140
61100210204400000
754455061431301
oct7774711124200
91844840751600
10549338785920
111a1a78472631
128a570546000
133ca57c0b462
141c833bd47a8
15e452417a30
hex7fe724a880

549338785920 has 1536 divisors, whose sum is σ = 2213422848000. Its totient is φ = 129543929856.

The previous prime is 549338785889. The next prime is 549338785921. The reversal of 549338785920 is 29587833945.

549338785920 is a `hidden beast` number, since 5 + 4 + 9 + 3 + 38 + 7 + 8 + 592 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (549338785921) 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 191 ways as a sum of consecutive naturals, for example, 4009772092 + ... + 4009772228.

It is an arithmetic number, because the mean of its divisors is an integer number (1441030500).

Almost surely, 2549338785920 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 549338785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106711424000).

549338785920 is an abundant number, since it is smaller than the sum of its proper divisors (1664084062080).

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

549338785920 is a wasteful number, since it uses less digits than its factorization.

549338785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 549338785920 in words is "five hundred forty-nine billion, three hundred thirty-eight million, seven hundred eighty-five thousand, nine hundred twenty".