Search a number
-
+
268788887862 = 231134712919091
BaseRepresentation
bin1111101001010100010…
…0001111000100110110
3221200210100201020211220
43322111010033010312
513400434423402422
6323251354411210
725263560564325
oct3722504170466
9850710636756
10268788887862
11a3aa1357850
1244114a30b06
131c467881511
14d01bd140bc
156ed25a1e5c
hex3e9510f136

268788887862 has 64 divisors (see below), whose sum is σ = 588658848768. Its totient is φ = 81144612000.

The previous prime is 268788887839. The next prime is 268788887981.

268788887862 is nontrivially palindromic in base 10.

268788887862 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29561937 + ... + 29571027.

It is an arithmetic number, because the mean of its divisors is an integer number (9197794512).

Almost surely, 2268788887862 is an apocalyptic number.

268788887862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

268788887862 is an abundant number, since it is smaller than the sum of its proper divisors (319869960906).

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

268788887862 is a wasteful number, since it uses less digits than its factorization.

268788887862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10745.

The product of its digits is 1849688064, while the sum is 78.

The spelling of 268788887862 in words is "two hundred sixty-eight billion, seven hundred eighty-eight million, eight hundred eighty-seven thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 66 347 694 1041 1291 2082 2582 3817 3873 7634 7746 9091 11451 14201 18182 22902 27273 28402 42603 54546 85206 100001 200002 300003 447977 600006 895954 1343931 2687862 3154577 4927747 6309154 9463731 9855494 11736481 14783241 18927462 23472962 29566482 34700347 35209443 69400694 70418886 104101041 129101291 208202082 258202582 387303873 774607746 4072558907 8145117814 12217676721 24435353442 44798147977 89596295954 134394443931 268788887862