Search a number
-
+
55208726496 = 2534721143919
BaseRepresentation
bin110011011010101100…
…100100111111100000
312021111120221220010000
4303122230210333200
51401031413221441
641210150340000
73663060301200
oct633254447740
9167446856100
1055208726496
11214609833a0
12a84935a600
13528ac1c901
14295a406400
151681ccb2b6
hexcdab24fe0

55208726496 has 720 divisors, whose sum is σ = 211068063360. Its totient is φ = 13991201280.

The previous prime is 55208726473. The next prime is 55208726509. The reversal of 55208726496 is 69462780255.

55208726496 is a `hidden beast` number, since 5 + 52 + 0 + 87 + 26 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 60074325 + ... + 60075243.

It is an arithmetic number, because the mean of its divisors is an integer number (293150088).

Almost surely, 255208726496 is an apocalyptic number.

55208726496 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 55208726496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105534031680).

55208726496 is an abundant number, since it is smaller than the sum of its proper divisors (155859336864).

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

55208726496 is a wasteful number, since it uses less digits than its factorization.

55208726496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 55208726496 in words is "fifty-five billion, two hundred eight million, seven hundred twenty-six thousand, four hundred ninety-six".