Search a number
-
+
26105872152 = 23329337111301
BaseRepresentation
bin11000010100000001…
…111111111100011000
32111101100210201012210
4120110001333330120
5411431100402102
615554243235120
71612633152303
oct302401777430
974340721183
1026105872152
11100870a2158
125086978aa0
132600691c39
1413991b3b3a
15a2bd1836c
hex61407ff18

26105872152 has 64 divisors (see below), whose sum is σ = 67716136800. Its totient is φ = 8376883200.

The previous prime is 26105872097. The next prime is 26105872217. The reversal of 26105872152 is 25127850162.

It is a super-2 number, since 2×261058721522 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26105872152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178902 + ... + 290202.

Almost surely, 226105872152 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 26105872152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33858068400).

26105872152 is an abundant number, since it is smaller than the sum of its proper divisors (41610264648).

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

26105872152 is a wasteful number, since it uses less digits than its factorization.

26105872152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111676 (or 111672 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 26105872152 in words is "twenty-six billion, one hundred five million, eight hundred seventy-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 337 348 674 696 1011 1348 2022 2696 4044 8088 9773 19546 29319 39092 58638 78184 111301 117276 222602 234552 333903 445204 667806 890408 1335612 2671224 3227729 6455458 9683187 12910916 19366374 25821832 37508437 38732748 75016874 77465496 112525311 150033748 225050622 300067496 450101244 900202488 1087744673 2175489346 3263234019 4350978692 6526468038 8701957384 13052936076 26105872152