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5482879342560 = 25335432686417
BaseRepresentation
bin100111111001001010100…
…0100110101011111100000
3201102011021021210022212000
41033302111010311133200
51204312414102430220
615354444444404000
71104060601310364
oct117622504653740
921364237708760
105482879342560
1118243044a5694
12746751246600
1330a0582246b9
1414d530c7d2a4
1597950297390
hex4fc951357e0

5482879342560 has 288 divisors, whose sum is σ = 19646765822880. Its totient is φ = 1428096724992.

The previous prime is 5482879342559. The next prime is 5482879342597. The reversal of 5482879342560 is 652439782845.

5482879342560 is a `hidden beast` number, since 5 + 4 + 8 + 28 + 7 + 9 + 3 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7644472 + ... + 8330888.

It is an arithmetic number, because the mean of its divisors is an integer number (68217936885).

Almost surely, 25482879342560 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 5482879342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9823382911440).

5482879342560 is an abundant number, since it is smaller than the sum of its proper divisors (14163886480320).

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

5482879342560 is a wasteful number, since it uses less digits than its factorization.

5482879342560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686527 (or 686470 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 5482879342560 in words is "five trillion, four hundred eighty-two billion, eight hundred seventy-nine million, three hundred forty-two thousand, five hundred sixty".