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26642262240 = 25325113674583
BaseRepresentation
bin11000110100000000…
…001010100011100000
32112202202010011002100
4120310000022203200
5414030404342430
620123404050400
71632135330636
oct306400124340
975682104070
1026642262240
1110331953a50
1251b6533a00
132687848719
14140a51d356
15a5de6d960
hex63400a8e0

26642262240 has 288 divisors, whose sum is σ = 99473826816. Its totient is φ = 6439726080.

The previous prime is 26642262187. The next prime is 26642262277. The reversal of 26642262240 is 4226224662.

26642262240 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 22 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 26642262195 and 26642262204.

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 47 ways as a sum of consecutive naturals, for example, 5810989 + ... + 5815571.

It is an arithmetic number, because the mean of its divisors is an integer number (345395232).

Almost surely, 226642262240 is an apocalyptic number.

26642262240 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 26642262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49736913408).

26642262240 is an abundant number, since it is smaller than the sum of its proper divisors (72831564576).

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

26642262240 is a wasteful number, since it uses less digits than its factorization.

26642262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

It can be divided in two parts, 26642 and 262240, that added together give a palindrome (288882).

The spelling of 26642262240 in words is "twenty-six billion, six hundred forty-two million, two hundred sixty-two thousand, two hundred forty".