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13163837020 = 22523297101127
BaseRepresentation
bin11000100001010000…
…00011011001011100
31020222102002012121021
430100220003121130
5203424420241040
610014122413524
7644132524405
oct142050033134
936872065537
1013163837020
115645708654
1226746612a4
13131a306a99
148cc4169ac
15520a1624a
hex310a0365c

13163837020 has 144 divisors (see below), whose sum is σ = 29717388288. Its totient is φ = 4896460800.

The previous prime is 13163837017. The next prime is 13163837039. The reversal of 13163837020 is 2073836131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103652197 + ... + 103652323.

It is an arithmetic number, because the mean of its divisors is an integer number (206370752).

Almost surely, 213163837020 is an apocalyptic number.

13163837020 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 13163837020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14858694144).

13163837020 is an abundant number, since it is smaller than the sum of its proper divisors (16553551268).

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

13163837020 is a wasteful number, since it uses less digits than its factorization.

13163837020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 13163837020 in words is "thirteen billion, one hundred sixty-three million, eight hundred thirty-seven thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 97 101 115 127 194 202 230 254 388 404 460 485 505 508 529 635 970 1010 1058 1270 1940 2020 2116 2231 2323 2540 2645 2921 4462 4646 5290 5842 8924 9292 9797 10580 11155 11615 11684 12319 12827 14605 19594 22310 23230 24638 25654 29210 39188 44620 46460 48985 49276 51308 51313 53429 58420 61595 64135 67183 97970 102626 106858 123190 128270 134366 195940 205252 213716 225331 246380 256540 256565 267145 268732 283337 295021 335915 450662 513130 534290 566674 590042 671830 901324 1026260 1068580 1126655 1133348 1180084 1244219 1343660 1416685 1475105 2253310 2488438 2833370 2950210 4506620 4976876 5182613 5666740 5900420 6221095 6516751 6785483 10365226 12442190 13033502 13570966 20730452 24884380 25913065 26067004 27141932 28617037 32583755 33927415 51826130 57234074 65167510 67854830 103652260 114468148 130335020 135709660 143085185 286170370 572340740 658191851 1316383702 2632767404 3290959255 6581918510 13163837020