Search a number
-
+
36483254226 = 2341723721061
BaseRepresentation
bin100001111110100100…
…100100011111010010
310111011120200100020000
4201332210210133102
51044204203113401
624432110430430
72431042354446
oct417644443722
9114146610200
1036483254226
1114521933981
1270a2202416
133595601ac3
141aa14d0826
15e37dbd186
hex87e9247d2

36483254226 has 120 divisors (see below), whose sum is σ = 89192472996. Its totient is φ = 11135854080.

The previous prime is 36483254207. The next prime is 36483254273. The reversal of 36483254226 is 62245238463.

36483254226 is a `hidden beast` number, since 3 + 6 + 4 + 83 + 2 + 542 + 26 = 666.

36483254226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 36195443001 + 287811225 = 190251^2 + 16965^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1721736 + ... + 1742796.

Almost surely, 236483254226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36483254226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44596236498).

36483254226 is an abundant number, since it is smaller than the sum of its proper divisors (52709218770).

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

36483254226 is a wasteful number, since it uses less digits than its factorization.

36483254226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21146 (or 21120 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 36483254226 in words is "thirty-six billion, four hundred eighty-three million, two hundred fifty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 81 102 111 153 162 222 289 306 333 459 578 629 666 867 918 999 1258 1377 1734 1887 1998 2601 2754 2997 3774 5202 5661 5994 7803 10693 11322 15606 16983 21061 21386 23409 32079 33966 42122 46818 50949 63183 64158 96237 101898 126366 189549 192474 288711 358037 379098 568647 577422 716074 779257 866133 1074111 1137294 1558514 1705941 1732266 2148222 2337771 3222333 3411882 4675542 6086629 6444666 7013313 9666999 12173258 13247369 14026626 18259887 19333998 21039939 26494738 29000997 36519774 39742107 42079878 54779661 58001994 63119817 79484214 109559322 119226321 126239634 164338983 225205273 238452642 328677966 357678963 450410546 493016949 675615819 715357926 986033898 1073036889 1351231638 2026847457 2146073778 4053694914 6080542371 12161084742 18241627113 36483254226