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489792405312 = 263371937239241
BaseRepresentation
bin1110010000010011110…
…01101111111101000000
31201211020110211011202000
413020021321233331000
531011043323432222
61013001343024000
750246340516150
oct7101171577500
91654213734660
10489792405312
111797a1053531
127ab1259b000
1337258447512
14199c56a2760
15cb1991a9ac
hex7209e6ff40

489792405312 has 896 divisors, whose sum is σ = 1793882112000. Its totient is φ = 127919554560.

The previous prime is 489792405239. The next prime is 489792405433. The reversal of 489792405312 is 213504297984.

489792405312 is a `hidden beast` number, since 4 + 89 + 7 + 9 + 24 + 0 + 531 + 2 = 666.

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 127 ways as a sum of consecutive naturals, for example, 2032333512 + ... + 2032333752.

Almost surely, 2489792405312 is an apocalyptic number.

489792405312 is a gapful number since it is divisible by the number (42) 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 489792405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896941056000).

489792405312 is an abundant number, since it is smaller than the sum of its proper divisors (1304089706688).

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

489792405312 is a wasteful number, since it uses less digits than its factorization.

489792405312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 489792405312 in words is "four hundred eighty-nine billion, seven hundred ninety-two million, four hundred five thousand, three hundred twelve".