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5103017608500 = 2232537289457569
BaseRepresentation
bin100101001000010001110…
…0011010100010100110100
3200001211210001220212022200
41022100203203110110310
51132101440001433000
614504143253224500
71034452350662100
oct112204343242464
920054701825280
105103017608500
1116981a544a589
126a4bba332130
132b029bb11c66
14138db74b4900
158cb1b82c500
hex4a4238d4534

5103017608500 has 864 divisors, whose sum is σ = 19011819808800. Its totient is φ = 1148752281600.

The previous prime is 5103017608487. The next prime is 5103017608571. The reversal of 5103017608500 is 58067103015.

5103017608500 is a `hidden beast` number, since 5 + 1 + 0 + 30 + 17 + 608 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4226034055824 + 876983552676 = 2055732^2 + 936474^2 .

It is a super-2 number, since 2×51030176085002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 8968396216 + ... + 8968396784.

It is an arithmetic number, because the mean of its divisors is an integer number (22004421075).

Almost surely, 25103017608500 is an apocalyptic number.

5103017608500 is a gapful number since it is divisible by the number (50) 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 5103017608500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505909904400).

5103017608500 is an abundant number, since it is smaller than the sum of its proper divisors (13908802200300).

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

5103017608500 is a wasteful number, since it uses less digits than its factorization.

5103017608500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 5103017608500 in words is "five trillion, one hundred three billion, seventeen million, six hundred eight thousand, five hundred".