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26215225344 = 2113371147131
BaseRepresentation
bin11000011010100011…
…001001100000000000
32111122222120102121000
4120122203021200000
5412142044202334
620013151132000
71615431511260
oct303243114000
974588512530
1026215225344
11101328a18a0
1250b7514000
13261a22ba79
1413a991b7a0
15a36719299
hex61a8c9800

26215225344 has 768 divisors, whose sum is σ = 99632332800. Its totient is φ = 6613401600.

The previous prime is 26215225339. The next prime is 26215225363. The reversal of 26215225344 is 44352251262.

26215225344 is a `hidden beast` number, since 2 + 621 + 5 + 2 + 25 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 26215225299 and 26215225308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200116159 + ... + 200116289.

It is an arithmetic number, because the mean of its divisors is an integer number (129729600).

Almost surely, 226215225344 is an apocalyptic number.

26215225344 is a gapful number since it is divisible by the number (24) 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 26215225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49816166400).

26215225344 is an abundant number, since it is smaller than the sum of its proper divisors (73417107456).

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

26215225344 is a wasteful number, since it uses less digits than its factorization.

26215225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

It can be divided in two parts, 262152 and 25344, that added together give a cube (287496 = 663).

The spelling of 26215225344 in words is "twenty-six billion, two hundred fifteen million, two hundred twenty-five thousand, three hundred forty-four".