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198018199836 = 2232471016611753
BaseRepresentation
bin1011100001101011001…
…1011111000100011100
3200221010020011210202100
42320122303133010130
511221020124343321
6230545053125100
720210034632652
oct2703263370434
9627106153670
10198018199836
1176a85125426
1232463a89790
1315899877a62
149826c02dd2
15523e4a9326
hex2e1acdf11c

198018199836 has 144 divisors (see below), whose sum is σ = 517333235328. Its totient is φ = 63828864000.

The previous prime is 198018199829. The next prime is 198018199871. The reversal of 198018199836 is 638991810891.

It is a super-2 number, since 2×1980181998362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112958736 + ... + 112960488.

It is an arithmetic number, because the mean of its divisors is an integer number (3592591912).

Almost surely, 2198018199836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198018199836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258666617664).

198018199836 is an abundant number, since it is smaller than the sum of its proper divisors (319315035492).

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

198018199836 is a wasteful number, since it uses less digits than its factorization.

198018199836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 63.

The spelling of 198018199836 in words is "one hundred ninety-eight billion, eighteen million, one hundred ninety-nine thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 101 141 188 202 282 303 404 423 564 606 661 846 909 1212 1322 1692 1753 1818 1983 2644 3506 3636 3966 4747 5259 5949 7012 7932 9494 10518 11898 14241 15777 18988 21036 23796 28482 31067 31554 42723 56964 62134 63108 66761 82391 85446 93201 124268 133522 164782 170892 177053 186402 200283 247173 267044 279603 329564 354106 372804 400566 494346 531159 559206 600849 708212 741519 801132 988692 1062318 1118412 1158733 1201698 1483038 1593477 2124636 2317466 2403396 2966076 3137767 3186954 3476199 4634932 6275534 6373908 6952398 8321491 9413301 10428597 12551068 13904796 16642982 18826602 20857194 24964473 28239903 33285964 37653204 41714388 49928946 54460451 56479806 74893419 99857892 108920902 112959612 117032033 149786838 163381353 217841804 234064066 299573676 326762706 351096099 468128132 490144059 653525412 702192198 980288118 1053288297 1404384396 1960576236 2106576594 4213153188 5500505551 11001011102 16501516653 22002022204 33003033306 49504549959 66006066612 99009099918 198018199836