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30055585714560 = 27365733127803
BaseRepresentation
bin1101101010101110111001…
…00000101001000110000000
310221102021201110000122000000
412311113130200221012000
512414412314420331220
6143531202342000000
76221305301230110
oct665273440510600
9127367643018000
1030055585714560
11963855865212a
123454b82a16000
1313a02ca4a4103
1475c9ab887040
15371c34c20390
hex1b55dc829180

30055585714560 has 896 divisors, whose sum is σ = 123494308680960. Its totient is φ = 6848846991360.

The previous prime is 30055585714549. The next prime is 30055585714603. The reversal of 30055585714560 is 6541758555003.

30055585714560 is a `hidden beast` number, since 3 + 0 + 0 + 5 + 5 + 5 + 8 + 5 + 71 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a junction number, because it is equal to n+sod(n) for n = 30055585714497 and 30055585714506.

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 111 ways as a sum of consecutive naturals, for example, 1081005619 + ... + 1081033421.

It is an arithmetic number, because the mean of its divisors is an integer number (137828469510).

Almost surely, 230055585714560 is an apocalyptic number.

30055585714560 is a gapful number since it is divisible by the number (30) 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 30055585714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61747154340480).

30055585714560 is an abundant number, since it is smaller than the sum of its proper divisors (93438722966400).

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

30055585714560 is an equidigital number, since it uses as much as digits as its factorization.

30055585714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28178 (or 28151 counting only the distinct ones).

The product of its (nonzero) digits is 12600000, while the sum is 54.

The spelling of 30055585714560 in words is "thirty trillion, fifty-five billion, five hundred eighty-five million, seven hundred fourteen thousand, five hundred sixty".