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4869599918089 = 192372432732
BaseRepresentation
bin100011011011100101011…
…0001011111100000001001
3122020112021210100121120211
41012313022301133200021
51114240420034334324
614205021402121121
71011550140232204
oct106671261374011
918215253317524
104869599918089
111608205226a25
126679171b01a1
1329428034ca9a
1412b9930d493b
1586a096d0294
hex46dcac5f809

4869599918089 has 81 divisors (see below), whose sum is σ = 5482828411893. Its totient is φ = 4324176710784.

The previous prime is 4869599918083. The next prime is 4869599918101. The reversal of 4869599918089 is 9808199959684.

The square root of 4869599918089 is 2206717.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1214697149689 + 3654902768400 = 1102133^2 + 1911780^2 .

It is not a de Polignac number, because 4869599918089 - 213 = 4869599909897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4869599917997 and 4869599918015.

It is not an unprimeable number, because it can be changed into a prime (4869599918083) 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, 66706848157 + ... + 66706848229.

It is an arithmetic number, because the mean of its divisors is an integer number (67689239653).

Almost surely, 24869599918089 is an apocalyptic number.

4869599918089 is the 2206717-th square number.

4869599918089 is the 1103359-th centered octagonal number.

It is an amenable number.

4869599918089 is a deficient number, since it is larger than the sum of its proper divisors (613228493804).

4869599918089 is an frugal number, since it uses more digits than its factorization.

4869599918089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3627970560, while the sum is 85.

The spelling of 4869599918089 in words is "four trillion, eight hundred sixty-nine billion, five hundred ninety-nine million, nine hundred eighteen thousand, eighty-nine".

Divisors: 1 19 37 43 73 361 703 817 1369 1387 1591 1849 2701 3139 5329 13357 15523 26011 26353 30229 35131 51319 58867 59641 68413 99937 101251 116143 134977 197173 229147 494209 574351 667489 975061 1118473 1133179 1299847 1898803 1923769 2206717 2531281 2564563 3746287 4297291 4353793 4994149 7295401 8478439 9853321 21250987 24697093 36077257 41927623 48094339 48726697 71179453 81648529 82722067 94888831 138612619 161090341 184783513 187213099 313702243 364572877 913792441 1551322051 1802887789 2633639761 3060716479 3510886747 3557048881 5960342617 6926884663 13489196449 66706848193 113246509723 131610808597 256294732531 4869599918089