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5164874856 = 23321724117509
BaseRepresentation
bin1001100111101100…
…11011110001101000
3111022221121211100100
410303312123301220
541034201443411
62212301105400
7241663466121
oct46366336150
914287554310
105164874856
112210489a19
121001858260
1364406818b
1436dd3d048
15203673456
hex133d9bc68

5164874856 has 96 divisors (see below), whose sum is σ = 14873344200. Its totient is φ = 1613537280.

The previous prime is 5164874843. The next prime is 5164874863. The reversal of 5164874856 is 6584784615.

5164874856 is a `hidden beast` number, since 516 + 4 + 8 + 74 + 8 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4113169956 + 1051704900 = 64134^2 + 32430^2 .

It is a super-3 number, since 3×51648748563 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286230 + ... + 303738.

Almost surely, 25164874856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5164874856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7436672100).

5164874856 is an abundant number, since it is smaller than the sum of its proper divisors (9708469344).

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

5164874856 is a wasteful number, since it uses less digits than its factorization.

5164874856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17779 (or 17772 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 5164874856 is about 71867.0637775052. The cubic root of 5164874856 is about 1728.5685259571.

The spelling of 5164874856 in words is "five billion, one hundred sixty-four million, eight hundred seventy-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 241 306 408 482 612 723 964 1224 1446 1928 2169 2892 4097 4338 5784 8194 8676 12291 16388 17352 17509 24582 32776 35018 36873 49164 52527 70036 73746 98328 105054 140072 147492 157581 210108 294984 297653 315162 420216 595306 630324 892959 1190612 1260648 1785918 2381224 2678877 3571836 4219669 5357754 7143672 8439338 10715508 12659007 16878676 21431016 25318014 33757352 37977021 50636028 71734373 75954042 101272056 143468746 151908084 215203119 286937492 303816168 430406238 573874984 645609357 860812476 1291218714 1721624952 2582437428 5164874856