Search a number
-
+
3985398749673 = 33111741104918353
BaseRepresentation
bin111001111111101100010…
…001101101100111101001
3112010000000021212022222000
4321333230101231213221
51010244044034442143
612250511130321213
7560635616300145
oct71775421554751
915100007768860
103985398749673
1112a721a771140
12544491b89209
1322ba8aa73b43
14dac74076225
156da091adbd3
hex39fec46d9e9

3985398749673 has 128 divisors (see below), whose sum is σ = 6993314496000. Its totient is φ = 2215629619200.

The previous prime is 3985398749669. The next prime is 3985398749723. The reversal of 3985398749673 is 3769478935893.

3985398749673 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 398 + 74 + 96 + 73 = 666.

It is not a de Polignac number, because 3985398749673 - 22 = 3985398749669 is a prime.

It is a super-2 number, since 2×39853987496732 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3985398749592 and 3985398749601.

It is not an unprimeable number, because it can be changed into a prime (3985398749873) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 217143265 + ... + 217161617.

It is an arithmetic number, because the mean of its divisors is an integer number (54635269500).

Almost surely, 23985398749673 is an apocalyptic number.

3985398749673 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3985398749673 is a deficient number, since it is larger than the sum of its proper divisors (3007915746327).

3985398749673 is a wasteful number, since it uses less digits than its factorization.

3985398749673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19480 (or 19474 counting only the distinct ones).

The product of its digits is 7407106560, while the sum is 81.

The spelling of 3985398749673 in words is "three trillion, nine hundred eighty-five billion, three hundred ninety-eight million, seven hundred forty-nine thousand, six hundred seventy-three".

Divisors: 1 3 9 11 17 27 33 41 51 99 123 153 187 297 369 451 459 561 697 1049 1107 1353 1683 2091 3147 4059 5049 6273 7667 9441 11539 12177 17833 18353 18819 23001 28323 34617 43009 53499 55059 69003 103851 129027 160497 165177 196163 201883 207009 311553 312001 387081 473099 481491 495531 588489 605649 731153 752473 936003 1161243 1419297 1765467 1816947 2193459 2257419 2808009 3432011 4257891 5296401 5450841 6580377 6772257 8042683 8277203 8424027 10296033 12773673 12792041 19252297 19741131 20316771 24128049 24831609 30888099 38376123 57756891 72384147 74494827 92664297 115128369 140712451 173270673 211775267 217152441 223484481 327289049 345385107 422137353 519812019 635325801 789344177 981867147 1266412059 1905977403 2368032531 2945601441 3600179539 3799236177 5717932209 7104097593 8682785947 8836804323 10800538617 13418851009 21312292779 26048357841 32401615851 40256553027 78145073523 97204847553 120769659081 147607361099 234435220569 362308977243 442822083297 1328466249891 3985398749673