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12424380677880 = 23351931223788267
BaseRepresentation
bin1011010011001100011011…
…0010111111111011111000
31121222202111110012020100220
42310303012302333323320
53112030112423143010
642231403124500040
72421426510162033
oct264630662777370
947882443166326
1012424380677880
113a60171a98366
121487b17b4a620
136c17ca161b32
1430d4b3b9201a
151682bee53970
hexb4cc6cbfef8

12424380677880 has 256 divisors, whose sum is σ = 40682196172800. Its totient is φ = 3023914498560.

The previous prime is 12424380677857. The next prime is 12424380677881. The reversal of 12424380677880 is 8877608342421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12424380677881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15367507 + ... + 16155773.

It is an arithmetic number, because the mean of its divisors is an integer number (158914828800).

Almost surely, 212424380677880 is an apocalyptic number.

12424380677880 is a gapful number since it is divisible by the number (10) 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 12424380677880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20341098086400).

12424380677880 is an abundant number, since it is smaller than the sum of its proper divisors (28257815494920).

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

12424380677880 is a wasteful number, since it uses less digits than its factorization.

12424380677880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788554 (or 788550 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 12424380677880 in words is "twelve trillion, four hundred twenty-four billion, three hundred eighty million, six hundred seventy-seven thousand, eight hundred eighty".