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5457239974080 = 263351514182947
BaseRepresentation
bin100111101101001110011…
…0110011010000011000000
3201022201002102210110101000
41033122130312122003000
51203402411413132310
615335004344012000
71102162331262066
oct117323466320300
921281072713330
105457239974080
111814447771664
12741796761000
133078003ba34b
1414c1bba22036
1596e4e3cc4c0
hex4f69cd9a0c0

5457239974080 has 224 divisors, whose sum is σ = 19379430766080. Its totient is φ = 1445626137600.

The previous prime is 5457239974003. The next prime is 5457239974139. The reversal of 5457239974080 is 804799327545.

5457239974080 is a `hidden beast` number, since 5 + 45 + 72 + 39 + 97 + 408 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5457239973999 and 5457239974017.

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, 786834 + ... + 3396113.

It is an arithmetic number, because the mean of its divisors is an integer number (86515315920).

Almost surely, 25457239974080 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 5457239974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689715383040).

5457239974080 is an abundant number, since it is smaller than the sum of its proper divisors (13922190792000).

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

5457239974080 is a wasteful number, since it uses less digits than its factorization.

5457239974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183124 (or 4183108 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 5457239974080 in words is "five trillion, four hundred fifty-seven billion, two hundred thirty-nine million, nine hundred seventy-four thousand, eighty".