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12741722424 = 23323183109631
BaseRepresentation
bin10111101110111011…
…10100000100111000
31012212222210120020100
423313131310010320
5202043340104144
65504203155400
7630515565534
oct136735640470
935788716210
1012741722424
115449408712
122577215b60
131280a21732
1488c336bc4
154e8935269
hex2f7774138

12741722424 has 192 divisors, whose sum is σ = 36439603200. Its totient is φ = 4017081600.

The previous prime is 12741722381. The next prime is 12741722437. The reversal of 12741722424 is 42422714721.

12741722424 is a `hidden beast` number, since 12 + 7 + 417 + 224 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 20192589 + ... + 20193219.

It is an arithmetic number, because the mean of its divisors is an integer number (189789600).

Almost surely, 212741722424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12741722424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18219801600).

12741722424 is an abundant number, since it is smaller than the sum of its proper divisors (23697880776).

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

12741722424 is a wasteful number, since it uses less digits than its factorization.

12741722424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 859 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The spelling of 12741722424 in words is "twelve billion, seven hundred forty-one million, seven hundred twenty-two thousand, four hundred twenty-four".