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12463645431616 = 266110131609229
BaseRepresentation
bin1011010101011110101100…
…1010001001011101000000
31122010111211212202101121021
42311113223022021131000
53113201021212302431
642301415240435224
72424316516112521
oct265275312113500
948114755671537
1012463645431616
113a75890a12a65
121493655778b14
136c5416ab4122
1431135a84c848
1516931c104b11
hexb55eb289740

12463645431616 has 56 divisors (see below), whose sum is σ = 25386889856040. Its totient is φ = 6068971776000.

The previous prime is 12463645431599. The next prime is 12463645431619. The reversal of 12463645431616 is 61613454636421.

It can be written as a sum of positive squares in 4 ways, for example, as 506545358400 + 11957100073216 = 711720^2 + 3457904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12463645431619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15410311 + ... + 16198918.

Almost surely, 212463645431616 is an apocalyptic number.

12463645431616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12463645431616 is an abundant number, since it is smaller than the sum of its proper divisors (12923244424424).

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

12463645431616 is a wasteful number, since it uses less digits than its factorization.

12463645431616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31609403 (or 31609393 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 52.

The spelling of 12463645431616 in words is "twelve trillion, four hundred sixty-three billion, six hundred forty-five million, four hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 61 64 101 122 202 244 404 488 808 976 1616 1952 3232 3904 6161 6464 12322 24644 49288 98576 197152 394304 31609229 63218458 126436916 252873832 505747664 1011495328 1928162969 2022990656 3192532129 3856325938 6385064258 7712651876 12770128516 15425303752 25540257032 30850607504 51080514064 61701215008 102161028128 123402430016 194744459869 204322056256 389488919738 778977839476 1557955678952 3115911357904 6231822715808 12463645431616