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55000055005056 = 2732732911174297
BaseRepresentation
bin11001000000101101100101…
…01111011011111110000000
321012201221202101202221022100
430200112302233123332000
524202110103040130211
6312550402040510400
714404423430625000
oct1440266257337600
9235657671687270
1055000055005056
1116585435224777
12620346717b400
13248c6380057c5
14d820343cc000
15655a270e9156
hex3205b2bdbf80

55000055005056 has 768 divisors, whose sum is σ = 191149423920000. Its totient is φ = 15155317997568.

The previous prime is 55000055005039. The next prime is 55000055005067. The reversal of 55000055005056 is 65050055000055.

55000055005056 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 0 + 0 + 550 + 0 + 50 + 56 = 666.

55000055005056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55000055005056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12799638300 + ... + 12799642596.

Almost surely, 255000055005056 is an apocalyptic number.

55000055005056 is a gapful number since it is divisible by the number (56) 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 55000055005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95574711960000).

55000055005056 is an abundant number, since it is smaller than the sum of its proper divisors (136149368914944).

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

55000055005056 is a wasteful number, since it uses less digits than its factorization.

55000055005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 55000055005056 in words is "fifty-five trillion, fifty-five million, five thousand, fifty-six".