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198732290436 = 223219123892
BaseRepresentation
bin1011100100010101011…
…1100001100110000100
3200222221222212100220100
42321011113201212010
511224000431243221
6231144002404100
720233525411521
oct2710527414604
9628858770810
10198732290436
1177311219249
1232623060630
13159817ab884
1498939a8148
155282011926
hex2e455e1984

198732290436 has 81 divisors (see below), whose sum is σ = 506296472773. Its totient is φ = 65727867360.

The previous prime is 198732290431. The next prime is 198732290443. The reversal of 198732290436 is 634092237891.

The square root of 198732290436 is 445794.

It is a perfect power (a square), and thus also a powerful number.

198732290436 is a `hidden beast` number, since 1 + 98 + 7 + 32 + 2 + 90 + 436 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46912960836 + 151819329600 = 216594^2 + 389640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198732290431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 510879730 + ... + 510880118.

Almost surely, 2198732290436 is an apocalyptic number.

198732290436 is the 445794-th square number.

It is an amenable number.

198732290436 is an abundant number, since it is smaller than the sum of its proper divisors (307564182337).

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

198732290436 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (198732290435) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (585).

198732290436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 198732290436 in words is "one hundred ninety-eight billion, seven hundred thirty-two million, two hundred ninety thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 191 382 389 573 764 778 1146 1167 1556 1719 2292 2334 3438 3501 4668 6876 7002 14004 36481 72962 74299 109443 145924 148598 151321 218886 222897 297196 302642 328329 437772 445794 453963 605284 656658 668691 891588 907926 1313316 1337382 1361889 1815852 2674764 2723778 5447556 14191109 28382218 28902311 42573327 56764436 57804622 85146654 86706933 115609244 127719981 170293308 173413866 255439962 260120799 346827732 510879924 520241598 1040483196 5520341401 11040682802 16561024203 22081365604 33122048406 49683072609 66244096812 99366145218 198732290436