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8540083692 = 223476161729
BaseRepresentation
bin1111111010000011…
…10101010111101100
3211001011200012110000
413331001311113230
5114442230134232
63531231344300
7421426341120
oct77501652754
924034605400
108540083692
113692722308
1217a4082090
13a613c0b7a
145b02d5580
1534eb3027c
hex1fd0755ec

8540083692 has 120 divisors (see below), whose sum is σ = 25933513760. Its totient is φ = 2399984640.

The previous prime is 8540083661. The next prime is 8540083697. The reversal of 8540083692 is 2963800458.

8540083692 is a `hidden beast` number, since 85 + 400 + 83 + 6 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (8540083697) 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, 107484 + ... + 169212.

Almost surely, 28540083692 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 8540083692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12966756880).

8540083692 is an abundant number, since it is smaller than the sum of its proper divisors (17393430068).

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

8540083692 is a wasteful number, since it uses less digits than its factorization.

8540083692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61813 (or 61802 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8540083692 is about 92412.5732354640. The cubic root of 8540083692 is about 2044.0305176439.

The spelling of 8540083692 in words is "eight billion, five hundred forty million, eighty-three thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 81 84 108 122 126 162 183 189 244 252 324 366 378 427 549 567 732 756 854 1098 1134 1281 1647 1708 2196 2268 2562 3294 3843 4941 5124 6588 7686 9882 11529 15372 19764 23058 34587 46116 61729 69174 123458 138348 185187 246916 370374 432103 555561 740748 864206 1111122 1296309 1666683 1728412 2222244 2592618 3333366 3765469 3888927 5000049 5185236 6666732 7530938 7777854 10000098 11296407 11666781 15061876 15555708 20000196 22592814 23333562 26358283 33889221 35000343 45185628 46667124 52716566 67778442 70000686 79074849 101667663 105433132 135556884 140001372 158149698 203335326 237224547 305002989 316299396 406670652 474449094 610005978 711673641 948898188 1220011956 1423347282 2135020923 2846694564 4270041846 8540083692