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26026116480 = 27365713613
BaseRepresentation
bin11000001111010001…
…110000010110000000
32111011210201201000000
4120033101300112000
5411300141211410
615542314000000
71610644224420
oct301721602600
974153651000
1026026116480
1110046078581
125064116000
1325b9cb8b30
14138c772480
15a24d11dc0
hex60f470580

26026116480 has 896 divisors, whose sum is σ = 115000038720. Its totient is φ = 5482266624.

The previous prime is 26026116449. The next prime is 26026116517. The reversal of 26026116480 is 8461162062.

26026116480 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 6 + 1 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42456654 + ... + 42457266.

Almost surely, 226026116480 is an apocalyptic number.

26026116480 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 26026116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57500019360).

26026116480 is an abundant number, since it is smaller than the sum of its proper divisors (88973922240).

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

26026116480 is an equidigital number, since it uses as much as digits as its factorization.

26026116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 26026116480 in words is "twenty-six billion, twenty-six million, one hundred sixteen thousand, four hundred eighty".