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198379971291306 = 23744375714084743
BaseRepresentation
bin101101000110110011101111…
…101110000010100010101010
3222000101221101021210202102110
4231012303233232002202222
5202000224140122310211
61541530300051543150
756533323423433650
oct5506635756024252
9860357337722373
10198379971291306
1158234523047652
121a2bb44abbaab6
1386901c6a48c2c
1436db8db2dadd0
1517e04b946cea6
hexb46cefb828aa

198379971291306 has 64 divisors (see below), whose sum is σ = 455063881218048. Its totient is φ = 56477336505408.

The previous prime is 198379971291241. The next prime is 198379971291319. The reversal of 198379971291306 is 603192179973891.

198379971291306 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1983799712913062 (a number of 29 digits) contains 22 as substring.

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, 7042371 + ... + 21127113.

It is an arithmetic number, because the mean of its divisors is an integer number (7110373144032).

Almost surely, 2198379971291306 is an apocalyptic number.

It is a pronic number, being equal to 14084742×14084743.

198379971291306 is an abundant number, since it is smaller than the sum of its proper divisors (256683909926742).

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

198379971291306 is a wasteful number, since it uses less digits than its factorization.

198379971291306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14085955.

The product of its (nonzero) digits is 277766496, while the sum is 75.

The spelling of 198379971291306 in words is "one hundred ninety-eight trillion, three hundred seventy-nine billion, nine hundred seventy-one million, two hundred ninety-one thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 42 443 757 886 1329 1514 2271 2658 3101 4542 5299 6202 9303 10598 15897 18606 31794 335351 670702 1006053 2012106 2347457 4694914 7042371 14084742 14084743 28169486 42254229 84508458 98593201 197186402 295779603 591559206 6239541149 10662150451 12479082298 18718623447 21324300902 31986451353 37437246894 43676788043 63972902706 74635053157 87353576086 131030364129 149270106314 223905159471 262060728258 447810318942 4723332649793 9446665299586 14169997949379 28339995898758 33063328548551 66126657097102 99189985645653 198379971291306