Search a number
-
+
2991743104 = 2774181439
BaseRepresentation
bin1011001001010010…
…0110000010000000
321201111111022000011
42302110212002000
522111341234404
61212511234304
7134065253050
oct26224460200
97644438004
102991743104
1112a5840969
126b5b18994
13388a831bc
14205497560
151279b2604
hexb2526080

2991743104 has 64 divisors (see below), whose sum is σ = 6977779200. Its totient is φ = 1250887680.

The previous prime is 2991743093. The next prime is 2991743141. The reversal of 2991743104 is 4013471992.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×29917431043 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3984 + ... + 77455.

It is an arithmetic number, because the mean of its divisors is an integer number (109027800).

Almost surely, 22991743104 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 2991743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488889600).

2991743104 is an abundant number, since it is smaller than the sum of its proper divisors (3986036096).

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

2991743104 is an equidigital number, since it uses as much as digits as its factorization.

2991743104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81501 (or 81489 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 2991743104 is about 54696.8290122928. The cubic root of 2991743104 is about 1440.9251873410.

The spelling of 2991743104 in words is "two billion, nine hundred ninety-one million, seven hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 287 328 448 574 656 896 1148 1312 2296 2624 4592 5248 9184 18368 36736 81439 162878 325756 570073 651512 1140146 1303024 2280292 2606048 3338999 4560584 5212096 6677998 9121168 10424192 13355996 18242336 23372993 26711992 36484672 46745986 53423984 72969344 93491972 106847968 186983944 213695936 373967888 427391872 747935776 1495871552 2991743104