Search a number
-
+
54687807113472 = 2834132323189139
BaseRepresentation
bin11000110111100111111110…
…10100010000100100000000
321011122002210022021112220000
430123303333110100210000
524132001112110112342
6312151122020520000
714343030561424521
oct1433637724204400
9234562708245800
1054687807113472
1116474a72453225
126172a43b50000
13246906588a590
14d70c92780848
1564c84e55044c
hex31bcff510900

54687807113472 has 2160 divisors, whose sum is σ = 193010066726400. Its totient is φ = 15290387988480.

The previous prime is 54687807113369. The next prime is 54687807113483. The reversal of 54687807113472 is 27431170878645.

It is a happy number.

54687807113472 is a `hidden beast` number, since 5 + 4 + 6 + 8 + 7 + 80 + 71 + 13 + 472 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 393437461179 + ... + 393437461317.

Almost surely, 254687807113472 is an apocalyptic number.

54687807113472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54687807113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96505033363200).

54687807113472 is an abundant number, since it is smaller than the sum of its proper divisors (138322259612928).

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

54687807113472 is a wasteful number, since it uses less digits than its factorization.

54687807113472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 54687807113472 in words is "fifty-four trillion, six hundred eighty-seven billion, eight hundred seven million, one hundred thirteen thousand, four hundred seventy-two".