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198833206456 = 231729404912451
BaseRepresentation
bin1011100100101101100…
…0011111010010111000
3201000020000202102122201
42321023120133102320
511224202300101311
6231202005355544
720236162240363
oct2711330372270
9630200672581
10198833206456
1177363185a15
1232650a08bb4
13159996832b1
1498a31570da
15528ace79c1
hex2e4b61f4b8

198833206456 has 64 divisors (see below), whose sum is σ = 408487860000. Its totient is φ = 90312499200.

The previous prime is 198833206423. The next prime is 198833206471. The reversal of 198833206456 is 654602338891.

It is a super-3 number, since 3×1988332064563 (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 198833206397 and 198833206406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15963031 + ... + 15975481.

Almost surely, 2198833206456 is an apocalyptic number.

It is an amenable number.

198833206456 is an abundant number, since it is smaller than the sum of its proper divisors (209654653544).

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

198833206456 is a wasteful number, since it uses less digits than its factorization.

198833206456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16552 (or 16548 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 198833206456 in words is "one hundred ninety-eight billion, eight hundred thirty-three million, two hundred six thousand, four hundred fifty-six".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 232 493 986 1972 3944 4049 8098 12451 16196 24902 32392 49804 68833 99608 117421 137666 211667 234842 275332 361079 423334 469684 550664 722158 846668 939368 1444316 1693336 1996157 2888632 3992314 6138343 7984628 12276686 15969256 24553372 49106744 50414099 100828198 201656396 403312792 857039683 1462008871 1714079366 2924017742 3428158732 5848035484 6856317464 11696070968 24854150807 49708301614 99416603228 198833206456