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4268544345 = 335132432219
BaseRepresentation
bin1111111001101100…
…1101000101011001
3102000111000112001000
43332123031011121
532220221404340
61543321415213
7210531012462
oct37633150531
912014015030
104268544345
1118a05335aa
129b163a509
13530457ab0
142c6c99d69
1519eb1dd30
hexfe6cd159

4268544345 has 32 divisors (see below), whose sum is σ = 8172259200. Its totient is φ = 2101436352.

The previous prime is 4268544341. The next prime is 4268544347. The reversal of 4268544345 is 5434458624.

4268544345 is a `hidden beast` number, since 4 + 2 + 68 + 544 + 3 + 45 = 666.

It is not a de Polignac number, because 4268544345 - 22 = 4268544341 is a prime.

It is a super-3 number, since 3×42685443453 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4268544345.

It is not an unprimeable number, because it can be changed into a prime (4268544341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214355 + ... + 1217864.

It is an arithmetic number, because the mean of its divisors is an integer number (255383100).

Almost surely, 24268544345 is an apocalyptic number.

4268544345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4268544345 is a deficient number, since it is larger than the sum of its proper divisors (3903714855).

4268544345 is a wasteful number, since it uses less digits than its factorization.

4268544345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432246 (or 2432240 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The square root of 4268544345 is about 65334.0978739280. The cubic root of 4268544345 is about 1622.1584226532.

The spelling of 4268544345 in words is "four billion, two hundred sixty-eight million, five hundred forty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 2432219 7296657 12161095 21889971 31618847 36483285 65669913 94856541 109449855 158094235 284569623 328349565 474282705 853708869 1422848115 4268544345