Search a number
-
+
45126306666 = 23272411247893
BaseRepresentation
bin101010000001101111…
…001100101101101010
311022110221002220020100
4222001233030231222
51214404313303131
632421501210230
73155162164200
oct520157145552
9138427086210
1045126306666
1118157695121
1288b4860976
13434213580c
14228134b070
151291a8c7e6
hexa81bccb6a

45126306666 has 72 divisors (see below), whose sum is σ = 116510871204. Its totient is φ = 12578751360.

The previous prime is 45126306653. The next prime is 45126306671. The reversal of 45126306666 is 66660362154.

45126306666 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 2 ways, for example, as 44995318641 + 130988025 = 212121^2 + 11445^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 587785 + ... + 660108.

Almost surely, 245126306666 is an apocalyptic number.

45126306666 is an abundant number, since it is smaller than the sum of its proper divisors (71384564538).

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

45126306666 is a wasteful number, since it uses less digits than its factorization.

45126306666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247956 (or 1247946 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 45126306666 in words is "forty-five billion, one hundred twenty-six million, three hundred six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 246 287 294 369 441 574 738 861 882 1722 2009 2583 4018 5166 6027 12054 18081 36162 1247893 2495786 3743679 7487358 8735251 11231037 17470502 22462074 26205753 51163613 52411506 61146757 78617259 102327226 122293514 153490839 157234518 183440271 306981678 358145291 366880542 460472517 550320813 716290582 920945034 1074435873 1100641626 2148871746 2507017037 3223307619 5014034074 6446615238 7521051111 15042102222 22563153333 45126306666