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55241894400 = 29352721117157
BaseRepresentation
bin110011011100101011…
…000110101000000000
312021120220100222220220
4303130223012220000
51401113411110100
641213333303040
73663642232500
oct633453065000
9167526328826
1055241894400
1121478677990
12a858494a80
135294a637a4
14296099ba00
151684b7daa0
hexcdcac6a00

55241894400 has 1440 divisors, whose sum is σ = 246764688192. Its totient is φ = 10734796800.

The previous prime is 55241894387. The next prime is 55241894437. The reversal of 55241894400 is 449814255.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 351859122 + ... + 351859278.

Almost surely, 255241894400 is an apocalyptic number.

55241894400 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 55241894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123382344096).

55241894400 is an abundant number, since it is smaller than the sum of its proper divisors (191522793792).

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

55241894400 is a wasteful number, since it uses less digits than its factorization.

55241894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 55241894400 in words is "fifty-five billion, two hundred forty-one million, eight hundred ninety-four thousand, four hundred".