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194081664 = 2737103701
BaseRepresentation
bin10111001000101…
…11001110000000
3111112012100222210
423210113032000
5344141103124
631131502120
74544444520
oct1344271600
9445170883
10194081664
119a610477
1254bb7940
133129452a
141bac1680
151208aa29
hexb917380

194081664 has 128 divisors (see below), whose sum is σ = 595745280. Its totient is φ = 54835200.

The previous prime is 194081663. The next prime is 194081689. The reversal of 194081664 is 466180491.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194081663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276514 + ... + 277214.

It is an arithmetic number, because the mean of its divisors is an integer number (4654260).

Almost surely, 2194081664 is an apocalyptic number.

194081664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297872640).

194081664 is an abundant number, since it is smaller than the sum of its proper divisors (401663616).

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

194081664 is a wasteful number, since it uses less digits than its factorization.

194081664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 194081664 is about 13931.3195354927. The cubic root of 194081664 is about 578.9772542751.

The spelling of 194081664 in words is "one hundred ninety-four million, eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 128 168 192 206 224 309 336 384 412 448 618 672 701 721 824 896 1236 1344 1402 1442 1648 2103 2163 2472 2688 2804 2884 3296 4206 4326 4907 4944 5608 5768 6592 8412 8652 9814 9888 11216 11536 13184 14721 16824 17304 19628 19776 22432 23072 29442 33648 34608 39256 39552 44864 46144 58884 67296 69216 72203 78512 89728 92288 117768 134592 138432 144406 157024 216609 235536 269184 276864 288812 314048 433218 471072 505421 577624 628096 866436 942144 1010842 1155248 1516263 1732872 1884288 2021684 2310496 3032526 3465744 4043368 4620992 6065052 6931488 8086736 9241984 12130104 13862976 16173472 24260208 27725952 32346944 48520416 64693888 97040832 194081664