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57288212352 = 2732741173273
BaseRepresentation
bin110101010110101001…
…001011111110000000
312110212111212201102200
4311112221023332000
51414311240243402
642152353113200
74065440525160
oct652651137600
9173774781380
1057288212352
112232877a948
12b129858800
13552c9a7307
142ab66725a0
15175464021c
hexd56a4bf80

57288212352 has 192 divisors, whose sum is σ = 192999512160. Its totient is φ = 15968747520.

The previous prime is 57288212347. The next prime is 57288212369. The reversal of 57288212352 is 25321288275.

57288212352 is a `hidden beast` number, since 5 + 7 + 2 + 88 + 212 + 352 = 666.

57288212352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 57288212298 and 57288212307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243988 + ... + 417260.

Almost surely, 257288212352 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 57288212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96499756080).

57288212352 is an abundant number, since it is smaller than the sum of its proper divisors (135711299808).

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

57288212352 is a wasteful number, since it uses less digits than its factorization.

57288212352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173341 (or 173326 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 57288212352 in words is "fifty-seven billion, two hundred eighty-eight million, two hundred twelve thousand, three hundred fifty-two".