Search a number
-
+
198119511876 = 2231113231286487
BaseRepresentation
bin1011100010000011010…
…1111101011101000100
3200221101021210222202010
42320200311331131010
511221222043340001
6231003112414220
720212405031226
oct2704065753504
9627337728663
10198119511876
1177027332690
12324919a7370
13158b485a800
149836456416
15524831c8d6
hex2e20d7d744

198119511876 has 144 divisors (see below), whose sum is σ = 563698372608. Its totient is φ = 53630179200.

The previous prime is 198119511871. The next prime is 198119511899. The reversal of 198119511876 is 678115911891.

198119511876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (198119511871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548305 + ... + 834791.

It is an arithmetic number, because the mean of its divisors is an integer number (3914572032).

Almost surely, 2198119511876 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 198119511876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281849186304).

198119511876 is an abundant number, since it is smaller than the sum of its proper divisors (365578860732).

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

198119511876 is a wasteful number, since it uses less digits than its factorization.

198119511876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286562 (or 286547 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 57.

The spelling of 198119511876 in words is "one hundred ninety-eight billion, one hundred nineteen million, five hundred eleven thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 31 33 39 44 52 62 66 78 93 124 132 143 156 169 186 286 338 341 372 403 429 507 572 676 682 806 858 1014 1023 1209 1364 1612 1716 1859 2028 2046 2418 3718 4092 4433 4836 5239 5577 7436 8866 10478 11154 13299 15717 17732 20956 22308 26598 31434 53196 57629 62868 115258 172887 230516 286487 345774 572974 691548 859461 1145948 1718922 3151357 3437844 3724331 6302714 7448662 8881097 9454071 11172993 12605428 14897324 17762194 18908142 22345986 26643291 35524388 37816284 40967641 44691972 48416303 53286582 81935282 96832606 97692067 106573164 115454261 122902923 145248909 163870564 193665212 195384134 230908522 245805846 290497818 293076201 346362783 390768268 461817044 491611692 532579333 580995636 586152402 692725566 1065158666 1172304804 1269996871 1385451132 1500905393 1597737999 2130317332 2539993742 3001810786 3195475998 3809990613 4502716179 5079987484 6003621572 6390951996 7619981226 9005432358 15239962452 16509959323 18010864716 33019918646 49529877969 66039837292 99059755938 198119511876