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5427980213760 = 2932513591811697
BaseRepresentation
bin100111011111100110011…
…0101010001111000000000
3201012220120021101121221100
41032333030311101320000
51202413000413320020
615313325113454400
71100105260361316
oct116771465217000
921186507347840
105427980213760
111802aa2361665
12737b8b711400
13304b194b32c0
1414aa03a280b6
15962da773a90
hex4efccd51e00

5427980213760 has 960 divisors, whose sum is σ = 20713743610560. Its totient is φ = 1305445662720.

The previous prime is 5427980213753. The next prime is 5427980213791. The reversal of 5427980213760 is 673120897245.

It is a happy number.

5427980213760 is a `hidden beast` number, since 5 + 427 + 9 + 80 + 2 + 137 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 5427980213697 and 5427980213706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3198573232 + ... + 3198574928.

It is an arithmetic number, because the mean of its divisors is an integer number (21576816261).

It is a 1-persistent number, because it is pandigital, but 2⋅5427980213760 = 10855960427520 is not.

Almost surely, 25427980213760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5427980213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10356871805280).

5427980213760 is an abundant number, since it is smaller than the sum of its proper divisors (15285763396800).

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

5427980213760 is a wasteful number, since it uses less digits than its factorization.

5427980213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 5427980213760 in words is "five trillion, four hundred twenty-seven billion, nine hundred eighty million, two hundred thirteen thousand, seven hundred sixty".