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12803386115520 = 26335711131480393
BaseRepresentation
bin1011101001010000010101…
…0010000000010111000000
31200022222202222210100001000
42322110011102000113000
53134232313321144040
643121443330412000
72461004562223320
oct272240522002700
950288688710030
1012803386115520
114096981751280
121529470131000
1371b47b0403c0
14323989939280
151730a3626130
hexba5054805c0

12803386115520 has 896 divisors, whose sum is σ = 60644517857280. Its totient is φ = 2455792680960.

The previous prime is 12803386115503. The next prime is 12803386115537. The reversal of 12803386115520 is 2551168330821.

12803386115520 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 3 + 3 + 8 + 6 + 115 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (12803386115503) and next prime (12803386115537).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7908444 + ... + 9388836.

It is an arithmetic number, because the mean of its divisors is an integer number (67683613680).

Almost surely, 212803386115520 is an apocalyptic number.

12803386115520 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 12803386115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30322258928640).

12803386115520 is an abundant number, since it is smaller than the sum of its proper divisors (47841131741760).

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

12803386115520 is a wasteful number, since it uses less digits than its factorization.

12803386115520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480450 (or 1480434 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 12803386115520 in words is "twelve trillion, eight hundred three billion, three hundred eighty-six million, one hundred fifteen thousand, five hundred twenty".