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12427339984488 = 2332112134371127283
BaseRepresentation
bin1011010011010111011100…
…1011110110111001101000
31122000001010200122120212100
42310311313023312321220
53112102143014000423
642233012521013400
72421563032651062
oct264656713667150
948001120576770
1012427339984488
113a61450494200
121488603024260
136c1b7c299030
1430d6b4c04732
151683e4b5a343
hexb4d772f6e68

12427339984488 has 1152 divisors, whose sum is σ = 41814583050240. Its totient is φ = 3309422054400.

The previous prime is 12427339984393. The next prime is 12427339984523. The reversal of 12427339984488 is 88448993372421.

It is a happy number.

12427339984488 is a `hidden beast` number, since 1 + 2 + 4 + 27 + 3 + 39 + 98 + 4 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43912861995 + ... + 43912862277.

It is an arithmetic number, because the mean of its divisors is an integer number (36297381120).

Almost surely, 212427339984488 is an apocalyptic number.

12427339984488 is a gapful number since it is divisible by the number (18) 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 12427339984488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20907291525120).

12427339984488 is an abundant number, since it is smaller than the sum of its proper divisors (29387243065752).

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

12427339984488 is a wasteful number, since it uses less digits than its factorization.

12427339984488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 553 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 12427339984488 in words is "twelve trillion, four hundred twenty-seven billion, three hundred thirty-nine million, nine hundred eighty-four thousand, four hundred eighty-eight".