Search a number
-
+
26689414032 = 24331071913023
BaseRepresentation
bin11000110110110100…
…000010001110010000
32112220000211201012000
4120312310002032100
5414124442222112
620132210434000
71633250163501
oct306664021620
975800751160
1026689414032
1110356529876
12520a292900
1326945475a8
1414128b4ba8
15a631847dc
hex636d02390

26689414032 has 160 divisors (see below), whose sum is σ = 77755023360. Its totient is φ = 8764283520.

The previous prime is 26689413983. The next prime is 26689414039. The reversal of 26689414032 is 23041498662.

It is not an unprimeable number, because it can be changed into a prime (26689414039) 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, 8827273 + ... + 8830295.

It is an arithmetic number, because the mean of its divisors is an integer number (485968896).

Almost surely, 226689414032 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 26689414032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38877511680).

26689414032 is an abundant number, since it is smaller than the sum of its proper divisors (51065609328).

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

26689414032 is a wasteful number, since it uses less digits than its factorization.

26689414032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 26689414032 in words is "twenty-six billion, six hundred eighty-nine million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 191 214 216 321 382 428 432 573 642 764 856 963 1146 1284 1528 1712 1719 1926 2292 2568 2889 3023 3056 3438 3852 4584 5136 5157 5778 6046 6876 7704 9069 9168 10314 11556 12092 13752 15408 18138 20437 20628 23112 24184 27207 27504 36276 40874 41256 46224 48368 54414 61311 72552 81621 81748 82512 108828 122622 145104 163242 163496 183933 217656 245244 323461 326484 326992 367866 435312 490488 551799 577393 646922 652968 735732 970383 980976 1103598 1154786 1293844 1305936 1471464 1732179 1940766 2207196 2309572 2587688 2911149 2942928 3464358 3881532 4414392 4619144 5175376 5196537 5822298 6928716 7763064 8733447 8828784 9238288 10393074 11644596 13857432 15526128 15589611 17466894 20786148 23289192 27714864 31179222 34933788 41572296 46578384 61781051 62358444 69867576 83144592 123562102 124716888 139735152 185343153 247124204 249433776 370686306 494248408 556029459 741372612 988496816 1112058918 1482745224 1668088377 2224117836 2965490448 3336176754 4448235672 6672353508 8896471344 13344707016 26689414032