Search a number
-
+
26934182268 = 223715117911863
BaseRepresentation
bin11001000101011001…
…110000000101111100
32120112002102020002020
4121011121300011330
5420130122313033
620212353000140
71642311525510
oct310531600574
976462366066
1026934182268
1110471709874
125278253050
132703177876
1414371cc140
15a798d36b3
hex64567017c

26934182268 has 96 divisors (see below), whose sum is σ = 72710184960. Its totient is φ = 7601169600.

The previous prime is 26934182263. The next prime is 26934182311. The reversal of 26934182268 is 86228143962.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 26934182268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26934182263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2264505 + ... + 2276367.

It is an arithmetic number, because the mean of its divisors is an integer number (757397760).

Almost surely, 226934182268 is an apocalyptic number.

26934182268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26934182268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36355092480).

26934182268 is an abundant number, since it is smaller than the sum of its proper divisors (45776002692).

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

26934182268 is a wasteful number, since it uses less digits than its factorization.

26934182268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12207 (or 12205 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The spelling of 26934182268 in words is "twenty-six billion, nine hundred thirty-four million, one hundred eighty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 179 302 358 453 537 604 716 906 1057 1074 1253 1812 2114 2148 2506 3171 3759 4228 5012 6342 7518 11863 12684 15036 23726 27029 35589 47452 54058 71178 81087 83041 108116 142356 162174 166082 189203 249123 324348 332164 378406 498246 567609 756812 996492 1135218 1791313 2123477 2270436 3582626 4246954 5373939 6370431 7165252 8493908 10747878 12539191 12740862 14864339 21495756 25078382 25481724 29728678 37617573 44593017 50156764 59457356 75235146 89186034 150470292 178372068 320645027 641290054 961935081 1282580108 1923870162 2244515189 3847740324 4489030378 6733545567 8978060756 13467091134 26934182268