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45133827084 = 223223463117731
BaseRepresentation
bin101010000010001011…
…111000110000001100
311022111110020222022100
4222002023320300030
51214413224431314
632422330315100
73155313125463
oct520213706014
9138443228270
1045133827084
1118160961345
1288b7288a90
134343869878
1422823479da
151292575c09
hexa822f8c0c

45133827084 has 72 divisors (see below), whose sum is σ = 119306783232. Its totient is φ = 14359292640.

The previous prime is 45133827083. The next prime is 45133827103. The reversal of 45133827084 is 48072833154.

45133827084 is a `hidden beast` number, since 4 + 513 + 38 + 27 + 0 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (45133827083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324499 + ... + 442229.

It is an arithmetic number, because the mean of its divisors is an integer number (1657038656).

Almost surely, 245133827084 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 45133827084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59653391616).

45133827084 is an abundant number, since it is smaller than the sum of its proper divisors (74172956148).

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

45133827084 is a wasteful number, since it uses less digits than its factorization.

45133827084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118227 (or 118222 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 45133827084 in words is "forty-five billion, one hundred thirty-three million, eight hundred twenty-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 463 828 926 1389 1852 2778 4167 5556 8334 10649 16668 21298 31947 42596 63894 95841 117731 127788 191682 235462 353193 383364 470924 706386 1059579 1412772 2119158 2707813 4238316 5415626 8123439 10831252 16246878 24370317 32493756 48740634 54509453 97481268 109018906 163528359 218037812 327056718 490585077 654113436 981170154 1253717419 1962340308 2507434838 3761152257 5014869676 7522304514 11283456771 15044609028 22566913542 45133827084