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26543324340 = 2232513172367433
BaseRepresentation
bin11000101110000110…
…101111110010110100
32112111211221120210200
4120232012233302310
5413330042334330
620105511320500
71626524351151
oct305606576264
975454846720
1026543324340
1110291018495
125189380130
1326701b74a0
1413db327228
15a55428a60
hex62e1afcb4

26543324340 has 576 divisors, whose sum is σ = 97454762496. Its totient is φ = 5780865024.

The previous prime is 26543324329. The next prime is 26543324347. The reversal of 26543324340 is 4342334562.

26543324340 is a `hidden beast` number, since 2 + 6 + 543 + 32 + 43 + 40 = 666.

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 = 26543324295 and 26543324304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26543324347) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 61300764 + ... + 61301196.

It is an arithmetic number, because the mean of its divisors is an integer number (169192296).

Almost surely, 226543324340 is an apocalyptic number.

26543324340 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 26543324340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48727381248).

26543324340 is an abundant number, since it is smaller than the sum of its proper divisors (70911438156).

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

26543324340 is a wasteful number, since it uses less digits than its factorization.

26543324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 26543324340 in words is "twenty-six billion, five hundred forty-three million, three hundred twenty-four thousand, three hundred forty".