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198219816002364 = 2231323356031551701
BaseRepresentation
bin101101000100011110100101…
…101110000110001100111100
3221222211121222210101010001020
4231010132211232012030330
5201440113140344033424
61541324532032144140
756515623553102212
oct5504364556061474
9858747883333036
10198219816002364
115818260860a622
121a2943b3398050
13867b08257ac80
1436d3c66d22cb2
1517db244059079
hexb447a5b8633c

198219816002364 has 96 divisors (see below), whose sum is σ = 519761875659264. Its totient is φ = 58337266310400.

The previous prime is 198219816002317. The next prime is 198219816002389. The reversal of 198219816002364 is 463200618912891.

198219816002364 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1982198160023642 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198219816002298 and 198219816002307.

It is a congruent number.

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, 126967714 + ... + 128519414.

It is an arithmetic number, because the mean of its divisors is an integer number (5414186204784).

Almost surely, 2198219816002364 is an apocalyptic number.

It is an amenable number.

198219816002364 is an abundant number, since it is smaller than the sum of its proper divisors (321542059656900).

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

198219816002364 is a wasteful number, since it uses less digits than its factorization.

198219816002364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587347 (or 1587345 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 60.

The spelling of 198219816002364 in words is "one hundred ninety-eight trillion, two hundred nineteen billion, eight hundred sixteen million, two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 35603 71206 106809 142412 213618 427236 462839 818869 925678 1388517 1551701 1637738 1851356 2456607 2777034 3103402 3275476 4655103 4913214 5554068 6206804 9310206 9826428 10645297 18620412 20172113 21290594 31935891 35689123 40344226 42581188 60516339 63871782 71378246 80688452 107067369 121032678 127743564 142756492 214134738 242065356 428269476 463958599 927917198 1391875797 1855834396 2783751594 5567503188 55245210703 110490421406 165735632109 220980842812 331471264218 662942528436 718187739139 1270639846169 1436375478278 2154563217417 2541279692338 2872750956556 3811919538507 4309126434834 5082559384676 7623839077014 8618252869668 15247678154028 16518318000197 33036636000394 49554954000591 66073272000788 99109908001182 198219816002364