Search a number
-
+
5057733560 = 2351144925601
BaseRepresentation
bin1001011010111011…
…01110001110111000
3111001111000111010012
410231131232032320
540324234433220
62153512441052
7236223011615
oct45535561670
914044014105
105057733560
112165a600a0
12b919a9188
13627ac4069
1435da0d50c
151e905cac5
hex12d76e3b8

5057733560 has 64 divisors (see below), whose sum is σ = 12442572000. Its totient is φ = 1835008000.

The previous prime is 5057733539. The next prime is 5057733601. The reversal of 5057733560 is 653377505.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 184760 + ... + 210360.

Almost surely, 25057733560 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 5057733560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221286000).

5057733560 is an abundant number, since it is smaller than the sum of its proper divisors (7384838440).

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

5057733560 is a wasteful number, since it uses less digits than its factorization.

5057733560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26072 (or 26068 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 41.

The square root of 5057733560 is about 71117.7443399325. The cubic root of 5057733560 is about 1716.5323095064.

The spelling of 5057733560 in words is "five billion, fifty-seven million, seven hundred thirty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 449 898 1796 2245 3592 4490 4939 8980 9878 17960 19756 24695 25601 39512 49390 51202 98780 102404 128005 197560 204808 256010 281611 512020 563222 1024040 1126444 1408055 2252888 2816110 5632220 11264440 11494849 22989698 45979396 57474245 91958792 114948490 126443339 229896980 252886678 459793960 505773356 632216695 1011546712 1264433390 2528866780 5057733560