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5182019899056 = 24337211213198191
BaseRepresentation
bin100101101101000100001…
…1101001000111010110000
3200100101200212200001021000
41023122020131020322300
51134400234043232211
615004330450402000
71043250166242600
oct113321035107260
920311625601230
105182019899056
111718756157800
126b8387b90300
132b787c32c350
1413cb4d93ac00
158ebe241d656
hex4b688748eb0

5182019899056 has 1440 divisors, whose sum is σ = 21562353254400. Its totient is φ = 1176906931200.

The previous prime is 5182019899009. The next prime is 5182019899087. The reversal of 5182019899056 is 6509989102815.

5182019899056 is a `hidden beast` number, since 518 + 20 + 1 + 9 + 8 + 9 + 90 + 5 + 6 = 666.

It is a super-2 number, since 2×51820198990562 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5182019898984 and 5182019899002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 632643921 + ... + 632652111.

Almost surely, 25182019899056 is an apocalyptic number.

5182019899056 is a gapful number since it is divisible by the number (56) 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 5182019899056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10781176627200).

5182019899056 is an abundant number, since it is smaller than the sum of its proper divisors (16380333355344).

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

5182019899056 is a wasteful number, since it uses less digits than its factorization.

5182019899056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8246 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 63.

The spelling of 5182019899056 in words is "five trillion, one hundred eighty-two billion, nineteen million, eight hundred ninety-nine thousand, fifty-six".