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5016166456 = 23736432843
BaseRepresentation
bin1001010101111110…
…01010000000111000
3110221120210122202211
410222333022000320
540233114311311
62145425504504
7235206466000
oct45277120070
913846718684
105016166456
11214454a114
12b7baa2134
1361c2cc142
143582ad000
151e559b821
hex12afca038

5016166456 has 64 divisors (see below), whose sum is σ = 10989216000. Its totient is φ = 2145687264.

The previous prime is 5016166433. The next prime is 5016166501. The reversal of 5016166456 is 6546616105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1762971 + ... + 1765813.

It is an arithmetic number, because the mean of its divisors is an integer number (171706500).

Almost surely, 25016166456 is an apocalyptic number.

5016166456 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 5016166456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494608000).

5016166456 is an abundant number, since it is smaller than the sum of its proper divisors (5973049544).

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

5016166456 is a wasteful number, since it uses less digits than its factorization.

5016166456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 5016166456 is about 70824.8999716907. The cubic root of 5016166456 is about 1711.8169140324.

The spelling of 5016166456 in words is "five billion, sixteen million, one hundred sixty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 643 686 1286 1372 2572 2744 2843 4501 5144 5686 9002 11372 18004 19901 22744 31507 36008 39802 63014 79604 126028 139307 159208 220549 252056 278614 441098 557228 882196 975149 1114456 1764392 1828049 1950298 3656098 3900596 7312196 7801192 12796343 14624392 25592686 51185372 89574401 102370744 179148802 358297604 627020807 716595208 1254041614 2508083228 5016166456