Search a number
-
+
26450346144 = 253275524439
BaseRepresentation
bin11000101000100100…
…000100000010100000
32112021100222210200210
4120220210010002200
5413132242034034
620052350414120
71624315142535
oct305044040240
975240883623
1026450346144
1110243592602
125162201340
132656b61ac1
1413ccc42d8c
15a4c1ae8e9
hex6289040a0

26450346144 has 24 divisors (see below), whose sum is σ = 69432158880. Its totient is φ = 8816782016.

The previous prime is 26450346133. The next prime is 26450346149. The reversal of 26450346144 is 44164305462.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×264503461442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26450346149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137762124 + ... + 137762315.

It is an arithmetic number, because the mean of its divisors is an integer number (2893006620).

Almost surely, 226450346144 is an apocalyptic number.

26450346144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26450346144 is an abundant number, since it is smaller than the sum of its proper divisors (42981812736).

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

26450346144 is a wasteful number, since it uses less digits than its factorization.

26450346144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275524452 (or 275524444 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 26450346144 in words is "twenty-six billion, four hundred fifty million, three hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 275524439 551048878 826573317 1102097756 1653146634 2204195512 3306293268 4408391024 6612586536 8816782048 13225173072 26450346144