Search a number
-
+
4671211104 = 2532719121951
BaseRepresentation
bin1000101100110110…
…10000011001100000
3110001112201002222200
410112123100121200
534031312223404
62051304133200
7223520432160
oct42633203140
913045632880
104671211104
111a8786004a
12aa4467200
135959c1151
143245565a0
151c515c839
hex1166d0660

4671211104 has 144 divisors (see below), whose sum is σ = 15980590080. Its totient is φ = 1264377600.

The previous prime is 4671211081. The next prime is 4671211121. The reversal of 4671211104 is 4011121764.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22672 + ... + 99279.

It is an arithmetic number, because the mean of its divisors is an integer number (110976320).

Almost surely, 24671211104 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 4671211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990295040).

4671211104 is an abundant number, since it is smaller than the sum of its proper divisors (11309378976).

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

4671211104 is a wasteful number, since it uses less digits than its factorization.

4671211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121993 (or 121982 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4671211104 is about 68346.2588881059. The cubic root of 4671211104 is about 1671.6415789643.

Adding to 4671211104 its reverse (4011121764), we get a palindrome (8682332868).

The spelling of 4671211104 in words is "four billion, six hundred seventy-one million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 38304 121951 243902 365853 487804 731706 853657 975608 1097559 1463412 1707314 1951216 2195118 2317069 2560971 2926824 3414628 3902432 4390236 4634138 5121942 5853648 6829256 6951207 7682913 8780472 9268276 10243884 11707296 13658512 13902414 15365826 16219483 17560944 18536552 20487768 20853621 27317024 27804828 30731652 32438966 35121888 37073104 40975536 41707242 48658449 55609656 61463304 64877932 74146208 81951072 83414484 97316898 111219312 122926608 129755864 145975347 166828968 194633796 222438624 245853216 259511728 291950694 333657936 389267592 519023456 583901388 667315872 778535184 1167802776 1557070368 2335605552 4671211104