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1990583174196 = 2234191326724373
BaseRepresentation
bin11100111101111000000…
…000001100010000110100
321001022001011102112110000
4130331320000030100310
5230103203243033241
64122243345431300
7263546335543311
oct34757000142064
97038034375400
101990583174196
116a8224342221
1228195633b530
131159326310b6
146c4b7d73d08
1536ba6416eb6
hex1cf7800c434

1990583174196 has 120 divisors (see below), whose sum is σ = 5478298290080. Its totient is φ = 628532042688.

The previous prime is 1990583174191. The next prime is 1990583174227. The reversal of 1990583174196 is 6914713850991.

1990583174196 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 583 + 1 + 7 + 41 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990583174191) 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 39 ways as a sum of consecutive naturals, for example, 81659466 + ... + 81683838.

Almost surely, 21990583174196 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 1990583174196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739149145040).

1990583174196 is an abundant number, since it is smaller than the sum of its proper divisors (3487715115884).

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

1990583174196 is a wasteful number, since it uses less digits than its factorization.

1990583174196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37675 (or 37664 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 1990583174196 in words is "one trillion, nine hundred ninety billion, five hundred eighty-three million, one hundred seventy-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 13267 24373 26534 39801 48746 53068 73119 79602 97492 119403 146238 159204 219357 238806 252073 292476 358209 438714 463087 477612 504146 658071 716418 756219 877428 926174 1008292 1074627 1316142 1389261 1432836 1512438 1852348 1974213 2149254 2268657 2632284 2778522 3024876 3948426 4167783 4298508 4537314 5557044 6805971 7896852 8335566 9074628 12503349 13611942 16671132 20417913 25006698 27223884 37510047 40835826 50013396 75020094 81671652 150040188 323356591 646713182 970069773 1293426364 1940139546 2910209319 3880279092 5820418638 6143775229 8730627957 11640837276 12287550458 17461255914 18431325687 24575100916 26191883871 34922511828 36862651374 52383767742 55293977061 73725302748 104767535484 110587954122 165881931183 221175908244 331763862366 497645793549 663527724732 995291587098 1990583174196