Search a number
-
+
198122886756 = 22328366306187
BaseRepresentation
bin1011100010000100001…
…0110101011001100100
3200221101112011110012200
42320201002311121210
511221223424334011
6231003313014500
720212445515434
oct2704102653144
9627345143180
10198122886756
1177029228243
1232492b54430
13158b546c992
149836a942c4
155248787856
hex2e210b5664

198122886756 has 36 divisors (see below), whose sum is σ = 506844501072. Its totient is φ = 65245287024.

The previous prime is 198122886733. The next prime is 198122886757. The reversal of 198122886756 is 657688221891.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1981228867563 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198122886693 and 198122886702.

It is not an unprimeable number, because it can be changed into a prime (198122886757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33150106 + ... + 33156081.

Almost surely, 2198122886756 is an apocalyptic number.

It is an amenable number.

198122886756 is an abundant number, since it is smaller than the sum of its proper divisors (308721614316).

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

198122886756 is a wasteful number, since it uses less digits than its factorization.

198122886756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66306280 (or 66306275 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 198122886756 in words is "one hundred ninety-eight billion, one hundred twenty-two million, eight hundred eighty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 66306187 132612374 198918561 265224748 397837122 596755683 795674244 1193511366 2387022732 5503413521 11006827042 16510240563 22013654084 33020481126 49530721689 66040962252 99061443378 198122886756