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198434065934346 = 2311237091147116073
BaseRepresentation
bin101101000111100110001000…
…000000101110100000001010
3222000121010000020102100100020
4231013212020000232200022
5202002120431334344341
61542011203523521310
756540250065344344
oct5507461000564012
9860533006370306
10198434065934346
1158255462066610
121a309a27229236
138695337bc6758
14370038d77a294
1517e1ad3530566
hexb4798802e80a

198434065934346 has 128 divisors (see below), whose sum is σ = 452475621089280. Its totient is φ = 57427416076800.

The previous prime is 198434065934339. The next prime is 198434065934347. The reversal of 198434065934346 is 643439560434891.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (198434065934347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12345793366 + ... + 12345809438.

It is an arithmetic number, because the mean of its divisors is an integer number (3534965789760).

Almost surely, 2198434065934346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198434065934346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226237810544640).

198434065934346 is an abundant number, since it is smaller than the sum of its proper divisors (254041555154934).

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

198434065934346 is a wasteful number, since it uses less digits than its factorization.

198434065934346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28292.

The product of its (nonzero) digits is 806215680, while the sum is 69.

It can be divided in two parts, 19843406 and 5934346, that added together give a palindrome (25777752).

The spelling of 198434065934346 in words is "one hundred ninety-eight trillion, four hundred thirty-four billion, sixty-five million, nine hundred thirty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 709 759 1418 1518 2127 4254 7799 11471 15598 16073 16307 22942 23397 32146 32614 34413 46794 48219 48921 68826 96438 97842 126181 176803 179377 252362 263833 353606 358754 369679 378543 527666 530409 538131 739358 757086 791499 1060818 1076262 1109037 1582998 2218074 2902163 4066469 5804326 8132938 8132939 8706489 11395757 12199407 16265878 17412978 22791514 24398814 24398817 34187271 48797634 68374542 89462329 125353327 178924658 184373383 187057597 250706654 262102411 268386987 368746766 374115194 376059981 524204822 536773974 553120149 561172791 752119962 786307233 1106240298 1122345582 1572614466 2028107213 2057633567 2883126521 4056214426 4115267134 4240587809 5766253042 6084321639 6172900701 8481175618 8649379563 12168643278 12345801402 12721763427 17298759126 25443526854 46646465899 93292931798 130720728547 139939397697 261441457094 279878795394 392162185641 784324371282 1437928014017 2875856028034 3006576756581 4313784042051 6013153513162 8627568084102 9019730269743 18039460539486 33072344322391 66144688644782 99217032967173 198434065934346