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557097109128 = 233571731131593
BaseRepresentation
bin10000001101101011001…
…00110100011010001000
31222020222001111101100000
420012311210310122020
533111413324443003
61103532112243000
755151246203350
oct10066544643210
91866861441300
10557097109128
111a529988169a
128bb76840460
13406c3364451
141cd6c34bb60
15e7585c51a3
hex81b5934688

557097109128 has 768 divisors, whose sum is σ = 1972720189440. Its totient is φ = 143625830400.

The previous prime is 557097109109. The next prime is 557097109133. The reversal of 557097109128 is 821901790755.

557097109128 is a `hidden beast` number, since 557 + 0 + 9 + 71 + 0 + 9 + 12 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 939455200 + ... + 939455792.

It is an arithmetic number, because the mean of its divisors is an integer number (2568646080).

Almost surely, 2557097109128 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 557097109128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986360094720).

557097109128 is an abundant number, since it is smaller than the sum of its proper divisors (1415623080312).

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

557097109128 is a wasteful number, since it uses less digits than its factorization.

557097109128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 54.

The spelling of 557097109128 in words is "five hundred fifty-seven billion, ninety-seven million, one hundred nine thousand, one hundred twenty-eight".