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6540345224 = 2371918133961
BaseRepresentation
bin1100001011101010…
…11011111110001000
3121212210210221222022
412011311123332020
5101343312021344
63000554144012
7321035005610
oct60565337610
917783727868
106540345224
112856944196
121326422008
1380300887a
144608a7a40
152842c00ee
hex185d5bf88

6540345224 has 64 divisors (see below), whose sum is σ = 14834601600. Its totient is φ = 2640729600.

The previous prime is 6540345221. The next prime is 6540345233. The reversal of 6540345224 is 4225430456.

It is a super-2 number, since 2×65403452242 = 85552231298199220352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6540345221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175604 + ... + 209564.

It is an arithmetic number, because the mean of its divisors is an integer number (231790650).

Almost surely, 26540345224 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 6540345224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7417300800).

6540345224 is an abundant number, since it is smaller than the sum of its proper divisors (8294256376).

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

6540345224 is a wasteful number, since it uses less digits than its factorization.

6540345224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34174 (or 34170 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The square root of 6540345224 is about 80872.4008794100. The cubic root of 6540345224 is about 1870.1088733355.

The spelling of 6540345224 in words is "six billion, five hundred forty million, three hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 181 266 362 532 724 1064 1267 1448 2534 3439 5068 6878 10136 13756 24073 27512 33961 48146 67922 96292 135844 192584 237727 271688 475454 645259 950908 1290518 1901816 2581036 4516813 5162072 6146941 9033626 12293882 18067252 24587764 36134504 43028587 49175528 86057174 116791879 172114348 233583758 344228696 467167516 817543153 934335032 1635086306 3270172612 6540345224