Search a number
-
+
26381811148 = 227111736713729
BaseRepresentation
bin11000100100011110…
…100111110111001100
32112002121000212100121
4120210132213313030
5413012220424043
620041501434324
71622523460210
oct304436476714
975077025317
1026381811148
1110208932210
12514326b9a4
1326458b7054
1413c3ac2940
15a46172ded
hex6247a7dcc

26381811148 has 96 divisors (see below), whose sum is σ = 61116733440. Its totient is φ = 9646940160.

The previous prime is 26381811121. The next prime is 26381811149. The reversal of 26381811148 is 84111818362.

It is not an unprimeable number, because it can be changed into a prime (26381811149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1914748 + ... + 1928476.

It is an arithmetic number, because the mean of its divisors is an integer number (636632640).

Almost surely, 226381811148 is an apocalyptic number.

26381811148 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 26381811148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30558366720).

26381811148 is an abundant number, since it is smaller than the sum of its proper divisors (34734922292).

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

26381811148 is a wasteful number, since it uses less digits than its factorization.

26381811148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14135 (or 14133 counting only the distinct ones).

The product of its digits is 73728, while the sum is 43.

The spelling of 26381811148 in words is "twenty-six billion, three hundred eighty-one million, eight hundred eleven thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 367 374 476 734 748 1309 1468 2569 2618 4037 5138 5236 6239 8074 10276 12478 13729 16148 24956 27458 28259 43673 54916 56518 68629 87346 96103 113036 137258 151019 174692 192206 233393 274516 302038 384412 466786 480403 604076 933572 960806 1057133 1633751 1921612 2114266 2567323 3267502 4228532 5038543 5134646 6535004 10077086 10269292 17971261 20154172 35269801 35942522 55423973 70539602 71885044 85655231 110847946 141079204 171310462 221695892 342620924 387967811 599586617 775935622 942207541 1199173234 1551871244 1884415082 2398346468 3768830164 6595452787 13190905574 26381811148