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557143816680 = 23325111174311981
BaseRepresentation
bin10000001101110000101…
…10111111100111101000
31222021002022101101001100
420012320112333213220
533112012304113210
61103540501321400
755152354206103
oct10067026774750
91867068341040
10557143816680
111a5313183780
128bb8a406260
13406ccc39059
141cd7462973a
15e75c74e5c0
hex81b85bf9e8

557143816680 has 192 divisors, whose sum is σ = 1975661176320. Its totient is φ = 135042393600.

The previous prime is 557143816627. The next prime is 557143816681. The reversal of 557143816680 is 86618341755.

It is a happy number.

557143816680 is a `hidden beast` number, since 5 + 5 + 71 + 438 + 1 + 66 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (557143816681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46496290 + ... + 46508270.

It is an arithmetic number, because the mean of its divisors is an integer number (10289901960).

Almost surely, 2557143816680 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 557143816680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987830588160).

557143816680 is an abundant number, since it is smaller than the sum of its proper divisors (1418517359640).

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

557143816680 is a wasteful number, since it uses less digits than its factorization.

557143816680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23752 (or 23745 counting only the distinct ones).

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

The spelling of 557143816680 in words is "five hundred fifty-seven billion, one hundred forty-three million, eight hundred sixteen thousand, six hundred eighty".