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12469793660928 = 213359764579
BaseRepresentation
bin1011010101110101100110…
…0111110010000000000000
31122011002201100201210200000
42311131121213302000000
53113301114134122203
642304313310400000
72424625053154362
oct265353147620000
948132640653600
1012469793660928
113a7845648670a
121494890800000
136c5b867abb36
14311781204d32
1516957bc6c4a3
hexb57599f2000

12469793660928 has 336 divisors, whose sum is σ = 37741480402080. Its totient is φ = 4113682661376.

The previous prime is 12469793660887. The next prime is 12469793660957. The reversal of 12469793660928 is 82906639796421.

12469793660928 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 9 + 7 + 9 + 3 + 6 + 609 + 2 + 8 = 666.

It is a super-2 number, since 2×124697936609282 (a number of 27 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 193061343 + ... + 193125921.

It is an arithmetic number, because the mean of its divisors is an integer number (112325834530).

Almost surely, 212469793660928 is an apocalyptic number.

12469793660928 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 12469793660928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18870740201040).

12469793660928 is an abundant number, since it is smaller than the sum of its proper divisors (25271686741152).

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

12469793660928 is an frugal number, since it uses more digits than its factorization.

12469793660928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64717 (or 64681 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 12469793660928 in words is "twelve trillion, four hundred sixty-nine billion, seven hundred ninety-three million, six hundred sixty thousand, nine hundred twenty-eight".