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57489352128 = 2635131272239
BaseRepresentation
bin110101100010101000…
…011110010111000000
312111101112100200100000
4311202220132113000
51420214233232003
642224340200000
74103432300415
oct654250362700
9174345320300
1057489352128
112242127116a
12b185099000
135562570330
142ad527010c
1517671221a3
hexd62a1e5c0

57489352128 has 336 divisors, whose sum is σ = 185562890240. Its totient is φ = 17541909504.

The previous prime is 57489352117. The next prime is 57489352139. The reversal of 57489352128 is 82125398475.

57489352128 is a `hidden beast` number, since 5 + 7 + 4 + 8 + 93 + 521 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (57489352117) and next prime (57489352139).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25675233 + ... + 25677471.

Almost surely, 257489352128 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 57489352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92781445120).

57489352128 is an abundant number, since it is smaller than the sum of its proper divisors (128073538112).

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

57489352128 is a wasteful number, since it uses less digits than its factorization.

57489352128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2384 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 57489352128 in words is "fifty-seven billion, four hundred eighty-nine million, three hundred fifty-two thousand, one hundred twenty-eight".