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12847307542496 = 2571719223939103
BaseRepresentation
bin1011101011110011111100…
…1100111100111111100000
31200111012010221201000001122
42322330333030330333200
53140442241212324441
643153545511151412
72464121154206660
oct272747714747740
950435127630048
1012847307542496
1141035701a7459
121535a89375568
1372265a66364b
14325b54c461a0
151742c451234b
hexbaf3f33cfe0

12847307542496 has 288 divisors, whose sum is σ = 32438476062720. Its totient is φ = 4888698458112.

The previous prime is 12847307542471. The next prime is 12847307542501. The reversal of 12847307542496 is 69424570374821.

It is a super-2 number, since 2×128473075424962 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328530881 + ... + 328569983.

It is an arithmetic number, because the mean of its divisors is an integer number (112633597440).

It is a 1-persistent number, because it is pandigital, but 2⋅12847307542496 = 25694615084992 is not.

Almost surely, 212847307542496 is an apocalyptic number.

12847307542496 is a gapful number since it is divisible by the number (16) 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 12847307542496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219238031360).

12847307542496 is an abundant number, since it is smaller than the sum of its proper divisors (19591168520224).

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

12847307542496 is a wasteful number, since it uses less digits than its factorization.

12847307542496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39414 (or 39387 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 12847307542496 in words is "twelve trillion, eight hundred forty-seven billion, three hundred seven million, five hundred forty-two thousand, four hundred ninety-six".