Search a number
-
+
5083663805 = 5113153101557
BaseRepresentation
bin1001011110000001…
…01000110110111101
3111010021210212201122
410233000220312331
540402404220210
62200240320325
7236656300163
oct45700506675
914107725648
105083663805
112179660950
12b9a6130a5
136302a27bc
1436323d233
151eb480b55
hex12f028dbd

5083663805 has 64 divisors (see below), whose sum is σ = 7081261056. Its totient is φ = 3469440000.

The previous prime is 5083663789. The next prime is 5083663817.

5083663805 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5083663805 - 24 = 5083663789 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 9126587 + ... + 9127143.

It is an arithmetic number, because the mean of its divisors is an integer number (110644704).

Almost surely, 25083663805 is an apocalyptic number.

5083663805 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5083663805 is a deficient number, since it is larger than the sum of its proper divisors (1997597251).

5083663805 is a wasteful number, since it uses less digits than its factorization.

5083663805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758.

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 5083663805 is about 71299.8163041112. The cubic root of 5083663805 is about 1719.4607788938.

The spelling of 5083663805 in words is "five billion, eighty-three million, six hundred sixty-three thousand, eight hundred five".

Divisors: 1 5 11 31 53 55 101 155 265 341 505 557 583 1111 1643 1705 2785 2915 3131 5353 5555 6127 8215 15655 17267 18073 26765 29521 30635 34441 56257 58883 86335 90365 147605 165943 172205 189937 281285 294415 324731 618827 829715 915151 949685 1623655 1743967 1825373 2981621 3094135 4575755 8719835 9126865 10066661 14908105 19183637 32797831 50333305 92430251 95918185 163989155 462151255 1016732761 5083663805