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5111441846784 = 293371331131071
BaseRepresentation
bin100101001100001100110…
…1011001111001000000000
3200002122112011121111202000
41022120121223033020000
51132221213103044114
614512055230024000
71035201202554420
oct112303153171000
920078464544660
105111441846784
1116a0828738489
126a676b648000
132b1012201c40
14139576252480
158ce611c7e09
hex4a619acf200

5111441846784 has 640 divisors, whose sum is σ = 19222663004160. Its totient is φ = 1304576409600.

The previous prime is 5111441846747. The next prime is 5111441846839. The reversal of 5111441846784 is 4876481441115.

5111441846784 is a `hidden beast` number, since 5 + 1 + 114 + 418 + 46 + 78 + 4 = 666.

It is a super-2 number, since 2×51114418467842 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5111441846784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38931969 + ... + 39063039.

It is an arithmetic number, because the mean of its divisors is an integer number (30035410944).

Almost surely, 25111441846784 is an apocalyptic number.

5111441846784 is a gapful number since it is divisible by the number (54) 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 5111441846784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9611331502080).

5111441846784 is an abundant number, since it is smaller than the sum of its proper divisors (14111221157376).

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

5111441846784 is a wasteful number, since it uses less digits than its factorization.

5111441846784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131149 (or 131127 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 5111441846784 in words is "five trillion, one hundred eleven billion, four hundred forty-one million, eight hundred forty-six thousand, seven hundred eighty-four".