Search a number
-
+
26112354000 = 24353293147103
BaseRepresentation
bin11000010100011010…
…101110011011010000
32111101211000000122020
4120110122232123100
5411434230312000
615555034211440
71613042226645
oct302432563320
974354000566
1026112354000
111008a81a057
125088b83b80
132601b21355
141399dbddcc
15a2c698ba0
hex6146ae6d0

26112354000 has 640 divisors, whose sum is σ = 92702638080. Its totient is φ = 6306048000.

The previous prime is 26112353987. The next prime is 26112354001. The reversal of 26112354000 is 45321162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26112354001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 253517949 + ... + 253518051.

It is an arithmetic number, because the mean of its divisors is an integer number (144847872).

Almost surely, 226112354000 is an apocalyptic number.

26112354000 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 26112354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46351319040).

26112354000 is an abundant number, since it is smaller than the sum of its proper divisors (66590284080).

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

26112354000 is a wasteful number, since it uses less digits than its factorization.

26112354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 26112354000 its reverse (45321162), we get a palindrome (26157675162).

The spelling of 26112354000 in words is "twenty-six billion, one hundred twelve million, three hundred fifty-four thousand".