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5420574686016 = 26357231269853
BaseRepresentation
bin100111011100001001101…
…1011011011101101000000
3201012012110011120211200000
41032320103123123231000
51202302314104423031
615310102211400000
71066423615415400
oct116702333335500
921165404524600
105420574686016
1117aa942106aa6
127366635b3000
13304209181a19
1414a5002a8800
15960055533e6
hex4ee136dbb40

5420574686016 has 1008 divisors, whose sum is σ = 19442476085760. Its totient is φ = 1491454218240.

The previous prime is 5420574685991. The next prime is 5420574686099. The reversal of 5420574686016 is 6106864750245.

5420574686016 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 574 + 6 + 8 + 60 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6354717846 + ... + 6354718698.

It is an arithmetic number, because the mean of its divisors is an integer number (19288170720).

Almost surely, 25420574686016 is an apocalyptic number.

5420574686016 is a gapful number since it is divisible by the number (56) 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 5420574686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9721238042880).

5420574686016 is an abundant number, since it is smaller than the sum of its proper divisors (14021901399744).

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

5420574686016 is a wasteful number, since it uses less digits than its factorization.

5420574686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5420574686016 in words is "five trillion, four hundred twenty billion, five hundred seventy-four million, six hundred eighty-six thousand, sixteen".