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26142016230 = 232511197311431
BaseRepresentation
bin11000010110001011…
…111000001011100110
32111110212211000120100
4120112023320023212
5412014324004410
620002014044530
71613552320521
oct302613701346
974425730510
1026142016230
11100a55397a0
125096aa9746
132608008675
14139dd01bb8
15a300a78c0
hex6162f82e6

26142016230 has 192 divisors, whose sum is σ = 74937747456. Its totient is φ = 6270432000.

The previous prime is 26142016213. The next prime is 26142016247. The reversal of 26142016230 is 3261024162.

26142016230 is a `hidden beast` number, since 2 + 6 + 1 + 420 + 1 + 6 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (26142016213) and next prime (26142016247).

It is a junction number, because it is equal to n+sod(n) for n = 26142016194 and 26142016203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60654115 + ... + 60654545.

It is an arithmetic number, because the mean of its divisors is an integer number (390300768).

Almost surely, 226142016230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26142016230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37468873728).

26142016230 is an abundant number, since it is smaller than the sum of its proper divisors (48795731226).

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

26142016230 is a wasteful number, since it uses less digits than its factorization.

26142016230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 26142016230 in words is "twenty-six billion, one hundred forty-two million, sixteen thousand, two hundred thirty".