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23206405266 = 232112344311503
BaseRepresentation
bin10101100111001101…
…011010010010010010
32012220021221112101100
4111213031122102102
5340011314432031
614354425445230
71451035122132
oct254715322222
965807845340
1023206405266
119929457830
1245b7940816
13225aa79a65
1411a209aac2
1590c4d1de6
hex56735a492

23206405266 has 96 divisors (see below), whose sum is σ = 57370540032. Its totient is φ = 6710726880.

The previous prime is 23206405223. The next prime is 23206405267. The reversal of 23206405266 is 66250460232.

23206405266 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 640 + 5 + 2 + 6 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 23206405266.

It is not an unprimeable number, because it can be changed into a prime (23206405267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2011671 + ... + 2023173.

It is an arithmetic number, because the mean of its divisors is an integer number (597609792).

Almost surely, 223206405266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23206405266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28685270016).

23206405266 is an abundant number, since it is smaller than the sum of its proper divisors (34164134766).

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

23206405266 is a wasteful number, since it uses less digits than its factorization.

23206405266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11988 (or 11985 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 23206405266 its reverse (66250460232), we get a palindrome (89456865498).

The spelling of 23206405266 in words is "twenty-three billion, two hundred six million, four hundred five thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 443 506 759 886 1329 1518 2277 2658 3987 4554 4873 7974 9746 10189 11503 14619 20378 23006 29238 30567 34509 43857 61134 69018 87714 91701 103527 112079 126533 183402 207054 224158 253066 264569 336237 379599 529138 672474 759198 793707 1008711 1138797 1587414 2017422 2277594 2381121 2910259 4762242 5095829 5820518 8730777 10191658 15287487 17461554 26192331 30574974 45862461 52384662 56054119 91724922 112108238 117204067 168162357 234408134 336324714 351612201 504487071 703224402 1008974142 1054836603 1289244737 2109673206 2578489474 3867734211 7735468422 11603202633 23206405266