Search a number
-
+
268785210114 = 233191132318353
BaseRepresentation
bin1111101001010011011…
…0001101001100000010
3221200210002210101221000
43322110312031030002
513400433003210424
6323251143512430
725263514406121
oct3722466151402
9850702711830
10268785210114
11a3a9a275693
1244113758716
131c466b94535
14d01b637ab8
156ed20c73c9
hex3e94d8d302

268785210114 has 64 divisors (see below), whose sum is σ = 634301654400. Its totient is φ = 84128357376.

The previous prime is 268785210101. The next prime is 268785210137. The reversal of 268785210114 is 411012587862.

268785210114 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 8 + 521 + 0 + 114 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 268785210114.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1043239 + ... + 1275114.

It is an arithmetic number, because the mean of its divisors is an integer number (9910963350).

Almost surely, 2268785210114 is an apocalyptic number.

268785210114 is an abundant number, since it is smaller than the sum of its proper divisors (365516444286).

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

268785210114 is a wasteful number, since it uses less digits than its factorization.

268785210114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318496 (or 2318490 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

Adding to 268785210114 its reverse (411012587862), we get a palindrome (679797797976).

The spelling of 268785210114 in words is "two hundred sixty-eight billion, seven hundred eighty-five million, two hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 113 114 171 226 339 342 513 678 1017 1026 2034 2147 3051 4294 6102 6441 12882 19323 38646 57969 115938 2318353 4636706 6955059 13910118 20865177 41730354 44048707 62595531 88097414 125191062 132146121 261973889 264292242 396438363 523947778 785921667 792876726 1189315089 1571843334 2357765001 2378630178 4715530002 4977503891 7073295003 9955007782 14146590006 14932511673 29865023346 44797535019 89595070038 134392605057 268785210114