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4316664352 = 2571121312251
BaseRepresentation
bin1000000010100101…
…10001001000100000
3102010211120021021111
410001102301020200
532320031224402
61552201033104
7211654020160
oct40122611040
912124507244
104316664352
11191570a900
12a05785794
1353a405580
142cd4245a0
151a3e769d7
hex1014b1220

4316664352 has 144 divisors (see below), whose sum is σ = 11497864896. Its totient is φ = 1552320000.

The previous prime is 4316664301. The next prime is 4316664353. The reversal of 4316664352 is 2534666134.

It is a happy number.

It is a super-2 number, since 2×43166643522 = 37267182255655159808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4316664353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346227 + ... + 358477.

It is an arithmetic number, because the mean of its divisors is an integer number (79846284).

Almost surely, 24316664352 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 4316664352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748932448).

4316664352 is an abundant number, since it is smaller than the sum of its proper divisors (7181200544).

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

4316664352 is a wasteful number, since it uses less digits than its factorization.

4316664352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12303 (or 12284 counting only the distinct ones).

The product of its digits is 311040, while the sum is 40.

The square root of 4316664352 is about 65701.3268663579. The cubic root of 4316664352 is about 1628.2312795355.

The spelling of 4316664352 in words is "four billion, three hundred sixteen million, six hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 121 143 154 176 182 208 224 242 286 308 352 364 416 484 572 616 728 847 968 1001 1144 1232 1456 1573 1694 1936 2002 2288 2464 2912 3146 3388 3872 4004 4576 6292 6776 8008 11011 12251 12584 13552 16016 22022 24502 25168 27104 32032 44044 49004 50336 85757 88088 98008 134761 159263 171514 176176 196016 269522 318526 343028 352352 392032 539044 637052 686056 943327 1078088 1114841 1274104 1372112 1482371 1751893 1886654 2156176 2229682 2548208 2744224 2964742 3503786 3773308 4312352 4459364 5096416 5929484 7007572 7546616 8918728 10376597 11858968 12263251 14015144 15093232 17837456 19270823 20753194 23717936 24526502 28030288 30186464 35674912 38541646 41506388 47435872 49053004 56060576 77083292 83012776 98106008 134895761 154166584 166025552 196212016 269791522 308333168 332051104 392424032 539583044 616666336 1079166088 2158332176 4316664352