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198708401040 = 24354799717669
BaseRepresentation
bin1011100100001111110…
…0011001001110010000
3200222220022220122210220
42321003330121032100
511223423322313130
6231141350353040
720233115353242
oct2710374311620
9628808818726
10198708401040
11772a9791846
123261705b780
1315979866036
14989074a092
15527ed93410
hex2e43f19390

198708401040 has 160 divisors (see below), whose sum is σ = 629768977920. Its totient is φ = 51806533632.

The previous prime is 198708401039. The next prime is 198708401053. The reversal of 198708401040 is 40104807891.

It is a junction number, because it is equal to n+sod(n) for n = 198708400983 and 198708401001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11237326 + ... + 11254994.

It is an arithmetic number, because the mean of its divisors is an integer number (3936056112).

Almost surely, 2198708401040 is an apocalyptic number.

198708401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198708401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314884488960).

198708401040 is an abundant number, since it is smaller than the sum of its proper divisors (431060576880).

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

198708401040 is a wasteful number, since it uses less digits than its factorization.

198708401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18729 (or 18723 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 198708401040 in words is "one hundred ninety-eight billion, seven hundred eight million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 997 1128 1410 1880 1994 2256 2820 2991 3760 3988 4985 5640 5982 7976 9970 11280 11964 14955 15952 17669 19940 23928 29910 35338 39880 46859 47856 53007 59820 70676 79760 88345 93718 106014 119640 140577 141352 176690 187436 212028 234295 239280 265035 281154 282704 353380 374872 424056 468590 530070 562308 702885 706760 749744 830443 848112 937180 1060140 1124616 1405770 1413520 1660886 1874360 2120280 2249232 2491329 2811540 3321772 3748720 4152215 4240560 4982658 5623080 6643544 8304430 9965316 11246160 12456645 13287088 16608860 17615993 19930632 24913290 33217720 35231986 39861264 49826580 52847979 66435440 70463972 88079965 99653160 105695958 140927944 176159930 199306320 211391916 264239895 281855888 352319860 422783832 528479790 704639720 827951671 845567664 1056959580 1409279440 1655903342 2113919160 2483855013 3311806684 4139758355 4227838320 4967710026 6623613368 8279516710 9935420052 12419275065 13247226736 16559033420 19870840104 24838550130 33118066840 39741680208 49677100260 66236133680 99354200520 198708401040