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5584138662150 = 2335219228514019
BaseRepresentation
bin101000101000010100010…
…0110011111000100000110
3201202211122020001201211000
41101100220212133010012
51212442303444142100
615513152355154130
71114304106315516
oct121205046370406
921684566051730
105584138662150
111863246773184
127622b08a5946
133167748c7959
141543b9271846
159a3c9d38900
hex5142899f106

5584138662150 has 288 divisors, whose sum is σ = 16249630492800. Its totient is φ = 1409884056000.

The previous prime is 5584138662133. The next prime is 5584138662203. The reversal of 5584138662150 is 512668314855.

5584138662150 is a `hidden beast` number, since 5 + 5 + 8 + 4 + 1 + 3 + 8 + 6 + 621 + 5 + 0 = 666.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1389432841 + ... + 1389436859.

It is an arithmetic number, because the mean of its divisors is an integer number (56422328100).

Almost surely, 25584138662150 is an apocalyptic number.

5584138662150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5584138662150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124815246400).

5584138662150 is an abundant number, since it is smaller than the sum of its proper divisors (10665491830650).

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

5584138662150 is a wasteful number, since it uses less digits than its factorization.

5584138662150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6929 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 5584138662150 in words is "five trillion, five hundred eighty-four billion, one hundred thirty-eight million, six hundred sixty-two thousand, one hundred fifty".