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12163876333488 = 243211171989267131
BaseRepresentation
bin1011000100000001111110…
…0001110010011110110000
31121001212002110022101200100
42301000133201302132300
53043243104320132423
641512001352352400
72363545123610355
oct261003741623660
947055073271610
1012163876333488
11396a742095760
1214455356a5700
136a3082a6c159
14300a4025462c
15161624d56343
hexb101f8727b0

12163876333488 has 480 divisors, whose sum is σ = 41855951404800. Its totient is φ = 3249668505600.

The previous prime is 12163876333487. The next prime is 12163876333513. The reversal of 12163876333488 is 88433367836121.

12163876333488 is a `hidden beast` number, since 1 + 2 + 1 + 63 + 8 + 7 + 63 + 33 + 488 = 666.

It is a super-2 number, since 2×121638763334882 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12163876333487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45401683 + ... + 45668813.

It is an arithmetic number, because the mean of its divisors is an integer number (87199898760).

Almost surely, 212163876333488 is an apocalyptic number.

12163876333488 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 12163876333488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20927975702400).

12163876333488 is an abundant number, since it is smaller than the sum of its proper divisors (29692075071312).

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

12163876333488 is a wasteful number, since it uses less digits than its factorization.

12163876333488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267281 (or 267272 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 12163876333488 in words is "twelve trillion, one hundred sixty-three billion, eight hundred seventy-six million, three hundred thirty-three thousand, four hundred eighty-eight".