Search a number
-
+
26483922000 = 243453163481
BaseRepresentation
bin11000101010100100…
…001001010001010000
32112100201011122010000
4120222210021101100
5413214341001000
620055550210000
71625203423404
oct305244112120
975321148100
1026483922000
1110260535648
1251714b3900
132660ab9583
1413d34a3104
15a500e3000
hex62a909450

26483922000 has 200 divisors, whose sum is σ = 95662473192. Its totient is φ = 7062336000.

The previous prime is 26483921993. The next prime is 26483922037. The reversal of 26483922000 is 22938462.

26483922000 is a `hidden beast` number, since 2 + 64 + 8 + 392 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29550096 + 26454371904 = 5436^2 + 162648^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80260 + ... + 243740.

Almost surely, 226483922000 is an apocalyptic number.

26483922000 is a gapful number since it is divisible by the number (20) 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 26483922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47831236596).

26483922000 is an abundant number, since it is smaller than the sum of its proper divisors (69178551192).

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

26483922000 is a wasteful number, since it uses less digits than its factorization.

26483922000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163516 (or 163491 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 26483922000 in words is "twenty-six billion, four hundred eighty-three million, nine hundred twenty-two thousand".