Search a number
-
+
55959552000 = 21633531123
BaseRepresentation
bin110100000111011100…
…110000000000000000
312100102220202210002000
4310013130300000000
51404101121131000
641412451224000
74020505225632
oct640734600000
9170386683060
1055959552000
1121806787740
12aa188a8000
13537a646061
1429cc010a52
1516c7b8d000
hexd07730000

55959552000 has 1088 divisors, whose sum is σ = 235550315520. Its totient is φ = 12976128000.

The previous prime is 55959551957. The next prime is 55959552041. The reversal of 55959552000 is 25595955.

It is a happy number.

55959552000 is a `hidden beast` number, since 5 + 5 + 9 + 595 + 52 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2433023989 + ... + 2433024011.

Almost surely, 255959552000 is an apocalyptic number.

55959552000 is a gapful number since it is divisible by the number (50) 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 55959552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117775157760).

55959552000 is an abundant number, since it is smaller than the sum of its proper divisors (179590763520).

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

55959552000 is an equidigital number, since it uses as much as digits as its factorization.

55959552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 506250, while the sum is 45.

It can be divided in two parts, 5595955 and 2000, that added together give a palindrome (5597955).

The spelling of 55959552000 in words is "fifty-five billion, nine hundred fifty-nine million, five hundred fifty-two thousand".