Search a number
-
+
55803542518080 = 263457378312411
BaseRepresentation
bin11001011000000110001100…
…10101000011100101000000
321022120202200211021200210000
430230003012111003211000
524303241123341034310
6314403443222440000
714516446543041330
oct1454030625034500
9238522624250700
1055803542518080
1116865170a57635
126313125593000
13251a336668c46
14dacc979c10c0
1566b8a167d4c0
hex32c0c6543940

55803542518080 has 560 divisors, whose sum is σ = 232991987412096. Its totient is φ = 12410361630720.

The previous prime is 55803542518069. The next prime is 55803542518111. The reversal of 55803542518080 is 8081524530855.

55803542518080 is a `hidden beast` number, since 5 + 5 + 8 + 0 + 3 + 5 + 42 + 518 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×558035425180802 (a number of 28 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2557075 + ... + 10869485.

Almost surely, 255803542518080 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 55803542518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116495993706048).

55803542518080 is an abundant number, since it is smaller than the sum of its proper divisors (177188444894016).

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

55803542518080 is a wasteful number, since it uses less digits than its factorization.

55803542518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312484 (or 8312465 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 54.

The spelling of 55803542518080 in words is "fifty-five trillion, eight hundred three billion, five hundred forty-two million, five hundred eighteen thousand, eighty".