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57228042240 = 21334547367
BaseRepresentation
bin110101010011000011…
…101010000000000000
312110201022122202120000
4311103003222000000
51414200334322430
642142403320000
74064110222125
oct652303520000
9173638582500
1057228042240
11222a7813186
12b111680000
13552039aab5
142aac68c74c
15174e206e60
hexd530ea000

57228042240 has 560 divisors, whose sum is σ = 210096640512. Its totient is φ = 14895415296.

The previous prime is 57228042233. The next prime is 57228042253. The reversal of 57228042240 is 4224082275.

57228042240 is a `hidden beast` number, since 5 + 7 + 228 + 0 + 422 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57228042195 and 57228042204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 155934537 + ... + 155934903.

Almost surely, 257228042240 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 57228042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105048320256).

57228042240 is an abundant number, since it is smaller than the sum of its proper divisors (152868598272).

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

57228042240 is an equidigital number, since it uses as much as digits as its factorization.

57228042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 57228042240 in words is "fifty-seven billion, two hundred twenty-eight million, forty-two thousand, two hundred forty".