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5442479168256 = 28331375180651
BaseRepresentation
bin100111100110010110100…
…0010011001101100000000
3201021021222201201211102000
41033030231002121230000
51203132144131341011
615324123532424000
71101130464430554
oct117145502315400
921237881654360
105442479168256
111809162672789
1273a957318000
133062ba29c410
1414b5bb4a3864
15968885b5356
hex4f32d099b00

5442479168256 has 288 divisors, whose sum is σ = 17355690992640. Its totient is φ = 1672358400000.

The previous prime is 5442479168207. The next prime is 5442479168339. The reversal of 5442479168256 is 6528619742445.

5442479168256 is a `hidden beast` number, since 5 + 4 + 424 + 79 + 16 + 82 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5442479168193 and 5442479168202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67441531 + ... + 67522181.

Almost surely, 25442479168256 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 5442479168256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8677845496320).

5442479168256 is an abundant number, since it is smaller than the sum of its proper divisors (11913211824384).

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

5442479168256 is a wasteful number, since it uses less digits than its factorization.

5442479168256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81440 (or 81420 counting only the distinct ones).

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

The spelling of 5442479168256 in words is "five trillion, four hundred forty-two billion, four hundred seventy-nine million, one hundred sixty-eight thousand, two hundred fifty-six".