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5430153320514 = 23213233787126551
BaseRepresentation
bin100111100000100111001…
…0111000001100001000010
3201020010011201110212222200
41033001032113001201002
51202431423222224024
615314324503014030
71100213155441446
oct117011627014102
921203151425880
105430153320514
111803a07a9295a
1273849743a316
133050a4789aa0
1414ab6c4a4826
15963b642c2c9
hex4f04e5c1842

5430153320514 has 96 divisors (see below), whose sum is σ = 12741006305664. Its totient is φ = 1661518483200.

The previous prime is 5430153320509. The next prime is 5430153320567. The reversal of 5430153320514 is 4150233510345.

5430153320514 is a `hidden beast` number, since 5 + 4 + 301 + 5 + 332 + 0 + 5 + 14 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42845539 + ... + 42972089.

It is an arithmetic number, because the mean of its divisors is an integer number (132718815684).

Almost surely, 25430153320514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5430153320514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370503152832).

5430153320514 is an abundant number, since it is smaller than the sum of its proper divisors (7310852985150).

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

5430153320514 is a wasteful number, since it uses less digits than its factorization.

5430153320514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127592 (or 127589 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 5430153320514 its reverse (4150233510345), we get a palindrome (9580386830859).

The spelling of 5430153320514 in words is "five trillion, four hundred thirty billion, one hundred fifty-three million, three hundred twenty thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 233 234 466 699 787 1398 1574 2097 2361 3029 4194 4722 6058 7083 9087 10231 14166 18174 20462 27261 30693 54522 61386 92079 126551 183371 184158 253102 366742 379653 550113 759306 1100226 1138959 1645163 1650339 2277918 2383823 3290326 3300678 4767646 4935489 7151469 9870978 14302938 14806467 21454407 29486383 29612934 42908814 58972766 88459149 99595637 176918298 199191274 265377447 298786911 383322979 530754894 597573822 766645958 896360733 1149968937 1294743281 1792721466 2299937874 2589486562 3449906811 3884229843 6899813622 7768459686 11652689529 23205783421 23305379058 46411566842 69617350263 139234700526 208852050789 301675184473 417704101578 603350368946 905025553419 1810051106838 2715076660257 5430153320514