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55804303296000 = 293453731113439
BaseRepresentation
bin11001011000000111100111…
…01011001100011000000000
321022120211122211211012220000
430230003303223030120000
524303244203120433000
6314404050520520000
714516504441406630
oct1454036353143000
9238524584735800
1055804303296000
1116865521439316
1263132b8320000
13251a4281683ac
14dacd2aa5a6c0
1566b8e8359000
hex32c0f3acc600

55804303296000 has 3200 divisors, whose sum is σ = 247960838062080. Its totient is φ = 12206702592000.

The previous prime is 55804303295999. The next prime is 55804303296107. The reversal of 55804303296000 is 69230340855.

55804303296000 is a `hidden beast` number, since 5 + 5 + 8 + 0 + 4 + 3 + 0 + 32 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×558043032960002 (a number of 28 digits) contains 22 as substring.

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

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 319 ways as a sum of consecutive naturals, for example, 127116863781 + ... + 127116864219.

Almost surely, 255804303296000 is an apocalyptic number.

55804303296000 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 55804303296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123980419031040).

55804303296000 is an abundant number, since it is smaller than the sum of its proper divisors (192156534766080).

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

55804303296000 is a wasteful number, since it uses less digits than its factorization.

55804303296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 55804303296000 in words is "fifty-five trillion, eight hundred four billion, three hundred three million, two hundred ninety-six thousand".