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5857300905984 = 21634113829
BaseRepresentation
bin101010100111100001001…
…0101110000000000000000
3202201221201101000111020000
41111033002111300000000
51231431223012442414
620242450142120000
71143114243141123
oct125170225600000
922657641014200
105857300905984
111959081731000
127a7226280000
13336458540868
141636cdd263ba
15a256630eb09
hex553c2570000

5857300905984 has 680 divisors, whose sum is σ = 19271306215920. Its totient is φ = 1772798607360.

The previous prime is 5857300905959. The next prime is 5857300905991. The reversal of 5857300905984 is 4895090037585.

5857300905984 is a `hidden beast` number, since 5 + 8 + 5 + 7 + 30 + 0 + 9 + 0 + 598 + 4 = 666.

It is a congruent number.

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, 7065501282 + ... + 7065502110.

Almost surely, 25857300905984 is an apocalyptic number.

5857300905984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5857300905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9635653107960).

5857300905984 is an abundant number, since it is smaller than the sum of its proper divisors (13414005309936).

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

5857300905984 is an frugal number, since it uses more digits than its factorization.

5857300905984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 5857300905984 in words is "five trillion, eight hundred fifty-seven billion, three hundred million, nine hundred five thousand, nine hundred eighty-four".