Search a number
-
+
10490198160 = 24351317197779
BaseRepresentation
bin10011100010100001…
…11011100010010000
31000002002011021120210
421301100323202100
5132440442320120
64452533204120
7520646133051
oct116120734220
930062137523
1010490198160
1144a3497162
122049190640
13cb241cc60
147172c6728
15415e3bce0
hex27143b890

10490198160 has 160 divisors (see below), whose sum is σ = 37081376640. Its totient is φ = 2430296064.

The previous prime is 10490198149. The next prime is 10490198197. The reversal of 10490198160 is 6189109401.

It is a super-2 number, since 2×104901981602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 45850 + ... + 151929.

It is an arithmetic number, because the mean of its divisors is an integer number (231758604).

Almost surely, 210490198160 is an apocalyptic number.

10490198160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10490198160 is an abundant number, since it is smaller than the sum of its proper divisors (26591178480).

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

10490198160 is a wasteful number, since it uses less digits than its factorization.

10490198160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197825 (or 197819 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The spelling of 10490198160 in words is "ten billion, four hundred ninety million, one hundred ninety-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2040 2210 2652 3120 3315 3536 4080 4420 5304 6630 8840 10608 13260 17680 26520 53040 197779 395558 593337 791116 988895 1186674 1582232 1977790 2373348 2571127 2966685 3164464 3362243 3955580 4746696 5142254 5933370 6724486 7713381 7911160 9493392 10086729 10284508 11866740 12855635 13448972 15426762 15822320 16811215 20173458 20569016 23733480 25711270 26897944 30853524 33622430 38566905 40346916 41138032 43709159 47466960 50433645 51422540 53795888 61707048 67244860 77133810 80693832 87418318 100867290 102845080 123414096 131127477 134489720 154267620 161387664 174836636 201734580 205690160 218545795 262254954 268979440 308535240 349673272 403469160 437091590 524509908 617070480 655637385 699346544 806938320 874183180 1049019816 1311274770 1748366360 2098039632 2622549540 3496732720 5245099080 10490198160