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12663414062520 = 233513171313645071
BaseRepresentation
bin1011100001000110111001…
…0010111111110110111000
31122211121111002200022100220
42320101232102333312320
53124434133000000040
642533254143500040
72444621130342204
oct270215622776670
948747432608326
1012663414062520
114042584116131
1215063078b7620
1370b2021b4ac0
1431acabd03b04
1516e6100c52d0
hexb846e4bfdb8

12663414062520 has 256 divisors, whose sum is σ = 43649883002880. Its totient is φ = 2911390310400.

The previous prime is 12663414062483. The next prime is 12663414062567. The reversal of 12663414062520 is 2526041436621.

It is a happy number.

It is a super-3 number, since 3×126634140625203 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1651585 + ... + 5296655.

It is an arithmetic number, because the mean of its divisors is an integer number (170507355480).

Almost surely, 212663414062520 is an apocalyptic number.

12663414062520 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 12663414062520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21824941501440).

12663414062520 is an abundant number, since it is smaller than the sum of its proper divisors (30986468940360).

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

12663414062520 is a wasteful number, since it uses less digits than its factorization.

12663414062520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645246 (or 3645242 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 12663414062520 in words is "twelve trillion, six hundred sixty-three billion, four hundred fourteen million, sixty-two thousand, five hundred twenty".