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198363781801836 = 223277112101916183
BaseRepresentation
bin101101000110100100101010…
…110000000010011101101100
3222000100101121000102110221100
4231012210222300002131230
5201444443011120124321
61541515021403003100
756532211301153130
oct5506445260023554
9860311530373840
10198363781801836
1158228675548592
121a2b8291209490
13868b816948771
1436dac031213c0
1517ded6cee7326
hexb4692ac0276c

198363781801836 has 144 divisors (see below), whose sum is σ = 581170721983488. Its totient is φ = 55872443088000.

The previous prime is 198363781801831. The next prime is 198363781801847. The reversal of 198363781801836 is 638108187363891.

198363781801836 is a `hidden beast` number, since 1 + 9 + 8 + 36 + 378 + 180 + 18 + 36 = 666.

It is not an unprimeable number, because it can be changed into a prime (198363781801831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216053001 + ... + 216969183.

It is an arithmetic number, because the mean of its divisors is an integer number (4035907791552).

Almost surely, 2198363781801836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198363781801836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290585360991744).

198363781801836 is an abundant number, since it is smaller than the sum of its proper divisors (382806940181652).

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

198363781801836 is a wasteful number, since it uses less digits than its factorization.

198363781801836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928372 (or 928367 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 198363781801836 in words is "one hundred ninety-eight trillion, three hundred sixty-three billion, seven hundred eighty-one million, eight hundred one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 4473 5964 8946 12101 17892 24202 36303 48404 72606 84707 108909 145212 169414 217818 254121 338828 435636 508242 762363 859171 916183 1016484 1524726 1718342 1832366 2577513 2748549 3049452 3436684 3664732 5155026 5497098 6014197 6413281 7732539 8245647 10310052 10994196 12028394 12826562 15465078 16491294 18042591 19239843 24056788 25653124 30930156 32982588 36085182 38479686 54127773 57719529 65048993 72170364 76959372 108255546 115439058 130097986 195146979 216511092 230878116 260195972 390293958 455342951 585440937 780587916 910685902 1170881874 1366028853 1821371804 2341763748 2732057706 4098086559 5464115412 8196173118 11086730483 16392346236 22173460966 33260191449 44346921932 66520382898 77607113381 99780574347 133040765796 155214226762 199561148694 232821340143 310428453524 399122297388 465642680286 698464020429 787157864293 931285360572 1396928040858 1574315728586 2361473592879 2793856081716 3148631457172 4722947185758 5510105050051 7084420778637 9445894371516 11020210100102 14168841557274 16530315150153 22040420200204 28337683114548 33060630300306 49590945450459 66121260600612 99181890900918 198363781801836