Search a number
-
+
266312684832 = 25323411129339
BaseRepresentation
bin1111100000000101111…
…0010001010100100000
3221110101210022002212120
43320001132101110200
513330402021403312
6322201541024240
725145322320445
oct3700136212440
9843353262776
10266312684832
11a2a40627867
12437436b5080
131c16186481c
14cc650d99cc
156dd9ec728c
hex3e01791520

266312684832 has 96 divisors (see below), whose sum is σ = 729667491840. Its totient is φ = 84887742720.

The previous prime is 266312684819. The next prime is 266312684851. The reversal of 266312684832 is 238486213662.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2663126848322 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9062419 + ... + 9091757.

It is an arithmetic number, because the mean of its divisors is an integer number (7600703040).

Almost surely, 2266312684832 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 266312684832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364833745920).

266312684832 is an abundant number, since it is smaller than the sum of its proper divisors (463354807008).

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

266312684832 is a wasteful number, since it uses less digits than its factorization.

266312684832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33486 (or 33478 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The spelling of 266312684832 in words is "two hundred sixty-six billion, three hundred twelve million, six hundred eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 4111 8222 12333 16444 24666 29339 32888 49332 58678 65776 88017 94553 98664 117356 131552 176034 189106 197328 234712 283659 352068 378212 394656 469424 567318 674797 704136 756424 938848 1134636 1349594 1408272 1512848 2024391 2269272 2699188 2816544 3025696 4048782 4538544 5398376 8097564 9077088 10796752 16195128 21593504 32390256 64780512 120612629 241225258 361837887 482450516 723675774 964901032 1447351548 1929802064 2774090467 2894703096 3859604128 5548180934 5789406192 8322271401 11096361868 11578812384 16644542802 22192723736 33289085604 44385447472 66578171208 88770894944 133156342416 266312684832