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12341380550688 = 253474383190583
BaseRepresentation
bin1011001110010111001110…
…0110101001000000100000
31121200211021000210220120000
42303211303212221000200
53104200121410110223
642125315120020000
72412430625554650
oct263456346510040
947624230726500
1012341380550688
113a28a4a644322
121473a13461600
136b6a305cc937
1430947c7ba360
151660633b8543
hexb39739a9020

12341380550688 has 480 divisors, whose sum is σ = 42957035928576. Its totient is φ = 3402593091072.

The previous prime is 12341380550671. The next prime is 12341380550717. The reversal of 12341380550688 is 88605508314321.

12341380550688 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 1 + 3 + 8 + 0 + 550 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64660645 + ... + 64851227.

Almost surely, 212341380550688 is an apocalyptic number.

12341380550688 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 12341380550688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21478517964288).

12341380550688 is an abundant number, since it is smaller than the sum of its proper divisors (30615655377888).

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

12341380550688 is a wasteful number, since it uses less digits than its factorization.

12341380550688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190738 (or 190721 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 12341380550688 in words is "twelve trillion, three hundred forty-one billion, three hundred eighty million, five hundred fifty thousand, six hundred eighty-eight".