Search a number
-
+
5283118566 = 234114763079
BaseRepresentation
bin1001110101110010…
…11111110111100110
3111122012010020020000
410322321133313212
541304434243231
62232123322130
7244630524015
oct47271376746
914565106200
105283118566
1122712011a0
121035380346
136626c887b
1438191ca7c
1520dc2d6e6
hex13ae5fde6

5283118566 has 80 divisors (see below), whose sum is σ = 13189271040. Its totient is φ = 1566857520.

The previous prime is 5283118559. The next prime is 5283118567. The reversal of 5283118566 is 6658113825.

5283118566 is a `hidden beast` number, since 5 + 2 + 83 + 1 + 1 + 8 + 566 = 666.

It is a super-2 number, since 2×52831185662 = 55822683564827792712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5283118567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52215 + ... + 115293.

It is an arithmetic number, because the mean of its divisors is an integer number (164865888).

Almost surely, 25283118566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5283118566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594635520).

5283118566 is an abundant number, since it is smaller than the sum of its proper divisors (7906152474).

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

5283118566 is a wasteful number, since it uses less digits than its factorization.

5283118566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63151 (or 63142 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 5283118566 is about 72685.0642566958. The cubic root of 5283118566 is about 1741.6602999068.

The spelling of 5283118566 in words is "five billion, two hundred eighty-three million, one hundred eighteen thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 81 94 99 141 162 198 282 297 423 517 594 846 891 1034 1269 1551 1782 2538 3102 3807 4653 7614 9306 13959 27918 41877 63079 83754 126158 189237 378474 567711 693869 1135422 1387738 1703133 2081607 2964713 3406266 4163214 5109399 5929426 6244821 8894139 10218798 12489642 17788278 18734463 26682417 32611843 37468926 53364834 56203389 65223686 80047251 97835529 112406778 160094502 195671058 240141753 293506587 480283506 587013174 880519761 1761039522 2641559283 5283118566