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4859039888329 = 1121925321992
BaseRepresentation
bin100011010110101010101…
…0110001011001111001001
3122012112000211210112001111
41012231111112023033021
51114102303202411304
614200113452050321
71011024352403344
oct106552526131711
918175024715044
104859039888329
111603786384300
1266586a7639a1
1329328961cb73
1412b27083145b
15865dc59c704
hex46b5558b3c9

4859039888329 has 81 divisors (see below), whose sum is σ = 5774201676999. Its totient is φ = 4085227729440.

The previous prime is 4859039888321. The next prime is 4859039888333. The reversal of 4859039888329 is 9238889309584.

The square root of 4859039888329 is 2204323.

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., 3502867844025 + 1356172044304 = 1871595^2 + 1164548^2 .

It is not a de Polignac number, because 4859039888329 - 23 = 4859039888321 is a prime.

It is a super-2 number, since 2×48590398883292 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4859039888321) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24417285772 + ... + 24417285970.

Almost surely, 24859039888329 is an apocalyptic number.

4859039888329 is the 2204323-rd square number.

4859039888329 is the 1102162-nd centered octagonal number.

It is an amenable number.

4859039888329 is a deficient number, since it is larger than the sum of its proper divisors (915161788670).

4859039888329 is an equidigital number, since it uses as much as digits as its factorization.

4859039888329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 76.

The spelling of 4859039888329 in words is "four trillion, eight hundred fifty-nine billion, thirty-nine million, eight hundred eighty-eight thousand, three hundred twenty-nine".

Divisors: 1 11 19 53 121 199 209 361 583 1007 2189 2299 2809 3781 3971 6413 10547 11077 19133 24079 30899 39601 41591 43681 53371 71839 116017 121847 200393 210463 339889 435611 457501 558991 587081 752419 790229 1014049 1276187 2098853 2204323 2315093 3807467 4791721 6148901 6457891 8276609 8692519 10620829 11154539 14295961 23087383 24247553 39878207 41882137 67637911 91042699 111239209 116829119 122699929 157255571 201795751 253961213 438660277 460703507 757685933 1223631299 1285120309 1729811281 2113544971 2219753261 4825263047 8334545263 13459944289 23248994681 24417285871 40157354449 91679997893 255738941491 441730898939 4859039888329