Search a number
-
+
55762985815488 = 263473124143907
BaseRepresentation
bin11001010110111010101001…
…11101100000110111000000
321022102220000100200201220000
430223131110331200313000
524302110043332043423
6314333054555520000
714513512525542030
oct1453352475406700
9238386010621800
1055762985815488
1116849a49833706
1263072a7159000
13251657216a483
14daad2b4db8c0
1566a7cad7c843
hex32b754f60dc0

55762985815488 has 1680 divisors, whose sum is σ = 204840648536832. Its totient is φ = 14676260659200.

The previous prime is 55762985815483. The next prime is 55762985815489. The reversal of 55762985815488 is 88451858926755.

55762985815488 is a `hidden beast` number, since 5 + 5 + 7 + 6 + 29 + 8 + 581 + 5 + 4 + 8 + 8 = 666.

55762985815488 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 (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55762985815483) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 61480689531 + ... + 61480690437.

Almost surely, 255762985815488 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 55762985815488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102420324268416).

55762985815488 is an abundant number, since it is smaller than the sum of its proper divisors (149077662721344).

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

55762985815488 is a wasteful number, since it uses less digits than its factorization.

55762985815488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1034 counting only the distinct ones).

The product of its digits is 7741440000, while the sum is 81.

The spelling of 55762985815488 in words is "fifty-five trillion, seven hundred sixty-two billion, nine hundred eighty-five million, eight hundred fifteen thousand, four hundred eighty-eight".