Search a number
-
+
26259221916 = 22327197105913
BaseRepresentation
bin11000011101001010…
…111110110110011100
32111210001100200112200
4120131022332312130
5412234330100131
620021402131500
71616504463204
oct303512766634
974701320480
1026259221916
11101557120a4
12510a1b0b90
132626394745
1413b16d1404
15a3a50a2e6
hex61d2bed9c

26259221916 has 72 divisors (see below), whose sum is σ = 68006955744. Its totient is φ = 8540743680.

The previous prime is 26259221899. The next prime is 26259221917. The reversal of 26259221916 is 61912295262.

26259221916 is a `hidden beast` number, since 2 + 625 + 9 + 2 + 2 + 1 + 9 + 16 = 666.

It is a super-2 number, since 2×262592219162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26259221917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194976 + ... + 300888.

It is an arithmetic number, because the mean of its divisors is an integer number (944541052).

Almost surely, 226259221916 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 26259221916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34003477872).

26259221916 is an abundant number, since it is smaller than the sum of its proper divisors (41747733828).

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

26259221916 is a wasteful number, since it uses less digits than its factorization.

26259221916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106091 (or 106086 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 26259221916 in words is "twenty-six billion, two hundred fifty-nine million, two hundred twenty-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 71 97 142 194 213 284 291 388 426 582 639 852 873 1164 1278 1746 2556 3492 6887 13774 20661 27548 41322 61983 82644 105913 123966 211826 247932 317739 423652 635478 953217 1270956 1906434 3812868 7519823 10273561 15039646 20547122 22559469 30079292 30820683 41094244 45118938 61641366 67678407 90237876 92462049 123282732 135356814 184924098 270713628 369848196 729422831 1458845662 2188268493 2917691324 4376536986 6564805479 8753073972 13129610958 26259221916