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4540331664 = 243311955457
BaseRepresentation
bin1000011101001111…
…11111011010010000
3102201102102202011000
410032213333122100
533244311103124
62030311022000
7220341116361
oct41647773220
912642382130
104540331664
111a1a998420
12a6866a900
135748582ab
14311007b68
151b89086c9
hex10e9ff690

4540331664 has 80 divisors (see below), whose sum is σ = 14217215040. Its totient is φ = 1375856640.

The previous prime is 4540331651. The next prime is 4540331689. The reversal of 4540331664 is 4661330454.

It is a super-2 number, since 2×45403316642 = 41229223238242017792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472977 + ... + 482480.

It is an arithmetic number, because the mean of its divisors is an integer number (177715188).

Almost surely, 24540331664 is an apocalyptic number.

4540331664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4540331664 is an abundant number, since it is smaller than the sum of its proper divisors (9676883376).

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

4540331664 is a wasteful number, since it uses less digits than its factorization.

4540331664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955485 (or 955473 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4540331664 is about 67381.9832299406. The cubic root of 4540331664 is about 1655.8812664294.

The spelling of 4540331664 in words is "four billion, five hundred forty million, three hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 955457 1910914 2866371 3821828 5732742 7643656 8599113 10510027 11465484 15287312 17198226 21020054 22930968 25797339 31530081 34396452 42040108 45861936 51594678 63060162 68792904 84080216 94590243 103189356 126120324 137585808 168160432 189180486 206378712 252240648 283770729 378360972 412757424 504481296 567541458 756721944 1135082916 1513443888 2270165832 4540331664