Search a number
-
+
5056204608 = 2632713195077
BaseRepresentation
bin1001011010101111…
…11000111101000000
3111001101010210210100
410231113320331000
540323342021413
62153420002400
7236204013210
oct45527707500
914041123710
105056204608
1121651063a4
12b91390400
136276aa160
1435d732240
151e8d59a73
hex12d5f8f40

5056204608 has 336 divisors, whose sum is σ = 18779662720. Its totient is φ = 1263071232.

The previous prime is 5056204577. The next prime is 5056204631. The reversal of 5056204608 is 8064026505.

5056204608 is a `hidden beast` number, since 50 + 562 + 0 + 46 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 993366 + ... + 998442.

Almost surely, 25056204608 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 5056204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9389831360).

5056204608 is an abundant number, since it is smaller than the sum of its proper divisors (13723458112).

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

5056204608 is a wasteful number, since it uses less digits than its factorization.

5056204608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5056204608 is about 71106.9940863766. The cubic root of 5056204608 is about 1716.3593229317.

The spelling of 5056204608 in words is "five billion, fifty-six million, two hundred four thousand, six hundred eight".