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26543566140 = 22357135099551
BaseRepresentation
bin11000101110000111…
…101010110100111100
32112111212101212111020
4120232013222310330
5413330123104030
620105520424140
71626526406130
oct305607526474
975455355436
1026543566140
1110291173123
125189478050
132670270570
1413db38b3c0
15a55475510
hex62e1ead3c

26543566140 has 192 divisors, whose sum is σ = 91662520320. Its totient is φ = 5588812800.

The previous prime is 26543566129. The next prime is 26543566151. The reversal of 26543566140 is 4166534562.

It is an interprime number because it is at equal distance from previous prime (26543566129) and next prime (26543566151).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 26543566092 and 26543566101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2774365 + ... + 2783915.

It is an arithmetic number, because the mean of its divisors is an integer number (477408960).

Almost surely, 226543566140 is an apocalyptic number.

26543566140 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 26543566140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45831260160).

26543566140 is an abundant number, since it is smaller than the sum of its proper divisors (65118954180).

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

26543566140 is a wasteful number, since it uses less digits than its factorization.

26543566140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10092 (or 10090 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 26543566140 in words is "twenty-six billion, five hundred forty-three million, five hundred sixty-six thousand, one hundred forty".