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5338327072324 = 225327123072
BaseRepresentation
bin100110110101110110100…
…0101101011111001000100
3200220100011012012011022111
41031223231011223321010
51144430343212303244
615204221003510404
71060452502266241
oct115535505537104
920810135164274
105338327072324
111778a7650a544
1272272ab28404
132c952c4b739c
1414653ac1a5c8
1593cdeaaee34
hex4daed16be44

5338327072324 has 81 divisors (see below), whose sum is σ = 9689221087581. Its totient is φ = 2573507270880.

The previous prime is 5338327072313. The next prime is 5338327072327. The reversal of 5338327072324 is 4232707238335.

The square root of 5338327072324 is 2310482.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3848384592900 + 1489942479424 = 1961730^2 + 1220632^2 .

It is a super-2 number, since 2×53383270723242 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5338327072327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17388687379 + ... + 17388687685.

Almost surely, 25338327072324 is an apocalyptic number.

5338327072324 is the 2310482-nd square number.

It is an amenable number.

5338327072324 is a deficient number, since it is larger than the sum of its proper divisors (4350894015257).

5338327072324 is an frugal number, since it uses more digits than its factorization.

5338327072324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

Multiplying 5338327072324 by its sum of digits (49), we get a square (261578026543876 = 161733742).

The spelling of 5338327072324 in words is "five trillion, three hundred thirty-eight billion, three hundred twenty-seven million, seventy-two thousand, three hundred twenty-four".

Divisors: 1 2 4 53 71 106 142 212 284 307 614 1228 2809 3763 5041 5618 7526 10082 11236 15052 16271 20164 21797 32542 43594 65084 87188 94249 188498 199439 267173 376996 398878 534346 797756 862363 1068692 1155241 1547587 1724726 2310482 3095174 3449452 4620964 4995197 6190348 6691679 9990394 13383358 14160169 19980788 26766716 28320338 56640676 61227773 82022111 122455546 164044222 244911092 264745441 328088444 354658987 475109209 529490882 709317974 950218418 1058981764 1418635948 1900436836 4347171883 8694343766 17388687532 18796926311 25180788077 37593852622 50361576154 75187705244 100723152308 1334581768081 2669163536162 5338327072324