Search a number
-
+
2066411536 = 247210924181
BaseRepresentation
bin111101100101010…
…1111000000010000
312100000022120201121
41323022233000100
513213000132121
6541014212024
7102131131300
oct17312570020
95300276647
102066411536
11970487632
12498054014
1326c15a727
14158625600
15c1630141
hex7b2af010

2066411536 has 60 divisors (see below), whose sum is σ = 4700255340. Its totient is φ = 877443840.

The previous prime is 2066411513. The next prime is 2066411537. The reversal of 2066411536 is 6351146602.

It can be written as a sum of positive squares in 2 ways, for example, as 1486565136 + 579846400 = 38556^2 + 24080^2 .

It is a super-2 number, since 2×20664115362 = 8540113272227758592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066411537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73366 + ... + 97546.

It is an arithmetic number, because the mean of its divisors is an integer number (78337589).

Almost surely, 22066411536 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 2066411536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350127670).

2066411536 is an abundant number, since it is smaller than the sum of its proper divisors (2633843804).

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

2066411536 is a wasteful number, since it uses less digits than its factorization.

2066411536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24312 (or 24299 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2066411536 is about 45457.7995067953. The cubic root of 2066411536 is about 1273.7150270310.

The spelling of 2066411536 in words is "two billion, sixty-six million, four hundred eleven thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 109 112 196 218 392 436 763 784 872 1526 1744 3052 5341 6104 10682 12208 21364 24181 42728 48362 85456 96724 169267 193448 338534 386896 677068 1184869 1354136 2369738 2635729 2708272 4739476 5271458 9478952 10542916 18450103 18957904 21085832 36900206 42171664 73800412 129150721 147600824 258301442 295201648 516602884 1033205768 2066411536