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57427074478080 = 2123252910743511
BaseRepresentation
bin11010000111010110010000…
…10111111111000000000000
321112022222022120002121021100
431003223020113333000000
530011341122031244310
6322045344523054400
715044653304022636
oct1503531027770000
9245288276077240
1057427074478080
111733075a47094a
126535903071400
132607471916368
1410276b16b1356
15698c23aeeec0
hex343ac85ff000

57427074478080 has 312 divisors, whose sum is σ = 205920249893280. Its totient is φ = 14785820098560.

The previous prime is 57427074478063. The next prime is 57427074478087. The reversal of 57427074478080 is 8087447072475.

57427074478080 is a `hidden beast` number, since 5 + 7 + 42 + 70 + 7 + 447 + 8 + 0 + 80 = 666.

It is a super-2 number, since 2×574270744780802 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57427074477999 and 57427074478017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57427074478087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26476 + ... + 10717035.

It is an arithmetic number, because the mean of its divisors is an integer number (660000800940).

Almost surely, 257427074478080 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 57427074478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102960124946640).

57427074478080 is an abundant number, since it is smaller than the sum of its proper divisors (148493175415200).

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

57427074478080 is a wasteful number, since it uses less digits than its factorization.

57427074478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10743575 (or 10743550 counting only the distinct ones).

The product of its (nonzero) digits is 98344960, while the sum is 63.

The spelling of 57427074478080 in words is "fifty-seven trillion, four hundred twenty-seven billion, seventy-four million, four hundred seventy-eight thousand, eighty".