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552141135843 = 311223891494987
BaseRepresentation
bin10000000100011100010…
…11010001111111100011
31221210011122221212001220
420002032023101333203
533021241112321333
61101352232430123
754614400134553
oct10021613217743
91853148855056
10552141135843
111a3186305600
128b012b48343
13400b367c18b
141ca1c06b163
15e5684688b3
hex808e2d1fe3

552141135843 has 96 divisors (see below), whose sum is σ = 859771584000. Its totient is φ = 314298293760.

The previous prime is 552141135781. The next prime is 552141135851. The reversal of 552141135843 is 348531141255.

It is a Cunningham number, because it is equal to 7430622-1.

It is not a de Polignac number, because 552141135843 - 222 = 552136941539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 552141135795 and 552141135804.

It is not an unprimeable number, because it can be changed into a prime (552141135043) 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 95 ways as a sum of consecutive naturals, for example, 110713596 + ... + 110718582.

It is an arithmetic number, because the mean of its divisors is an integer number (8955954000).

Almost surely, 2552141135843 is an apocalyptic number.

552141135843 is a deficient number, since it is larger than the sum of its proper divisors (307630448157).

552141135843 is a wasteful number, since it uses less digits than its factorization.

552141135843 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5262 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The spelling of 552141135843 in words is "five hundred fifty-two billion, one hundred forty-one million, one hundred thirty-five thousand, eight hundred forty-three".

Divisors: 1 3 11 23 33 69 89 121 149 253 267 363 447 759 979 1639 2047 2783 2937 3427 4917 4987 6141 8349 10281 10769 13261 14961 18029 22517 32307 37697 39783 54087 54857 67551 113091 114701 145871 164571 247687 305003 344103 414667 437613 443843 603427 743061 743063 915009 1244001 1261711 1331529 1604581 1810281 2229189 3355033 3785133 4813743 4882273 8173693 10065099 10208389 13878821 14646819 17090449 24521079 30625167 36905363 41636463 51271347 53705003 66132607 89910623 110716089 112292279 161115009 187994939 198397821 269731869 336876837 563984817 727458677 1235215069 1521049961 2067944329 2182376031 3705645207 4563149883 6203832987 8002045447 16731549571 24006136341 50194648713 184047045281 552141135843