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5640330465 = 32572111713679
BaseRepresentation
bin1010100000011000…
…01001110011100001
3112120002021110211100
411100030021303201
543022411033330
62331403505013
7256526006100
oct52014116341
915502243740
105640330465
112434901840
121114b28169
136bb708563
143b7146037
1523028e060
hex150309ce1

5640330465 has 144 divisors (see below), whose sum is σ = 13137396480. Its totient is φ = 2205987840.

The previous prime is 5640330419. The next prime is 5640330469.

5640330465 is a `hidden beast` number, since 5 + 640 + 3 + 3 + 0 + 4 + 6 + 5 = 666.

5640330465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5640330465 - 26 = 5640330401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5640330469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 405496 + ... + 419174.

It is an arithmetic number, because the mean of its divisors is an integer number (91231920).

Almost surely, 25640330465 is an apocalyptic number.

5640330465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5640330465 is an abundant number, since it is smaller than the sum of its proper divisors (7497066015).

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

5640330465 is a wasteful number, since it uses less digits than its factorization.

5640330465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13732 (or 13722 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5640330465 is about 75102.1335582419. The cubic root of 5640330465 is about 1780.0608556604.

It can be divided in two parts, 56403 and 30465, that added together give a palindrome (86868).

The spelling of 5640330465 in words is "five billion, six hundred forty million, three hundred thirty thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 17 21 33 35 45 49 51 55 63 77 85 99 105 119 147 153 165 187 231 245 255 315 357 385 441 495 539 561 595 693 735 765 833 935 1071 1155 1309 1617 1683 1785 2205 2499 2695 2805 3465 3927 4165 4851 5355 6545 7497 8085 8415 9163 11781 12495 13679 19635 24255 27489 37485 41037 45815 58905 68395 82467 95753 123111 137445 150469 205185 232543 287259 412335 451407 478765 615555 670271 697629 752345 861777 1053283 1162715 1354221 1436295 1627801 2010813 2092887 2257035 2557973 3159849 3351355 3488145 4308885 4883403 5266415 6032439 6771105 7372981 7673919 8139005 9479547 10054065 10464435 11394607 12789865 14650209 15799245 17905811 22118943 23021757 24417015 30162195 34183821 36864905 38369595 47397735 53717433 56973035 66356829 73251045 89529055 102551463 110594715 115108785 125340677 161152299 170919105 268587165 331784145 376022031 512757315 626703385 805761495 1128066093 1880110155 5640330465