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26205054260 = 225711171975081
BaseRepresentation
bin11000011001111100…
…010110010100110100
32111122021102200111012
4120121330112110310
5412131443214020
620012145131352
71615246200050
oct303174262464
974567380435
1026205054260
1110128085140
1250b4029b58
1326180aa388
1413a8430c60
15a358aa7c5
hex619f16534

26205054260 has 192 divisors, whose sum is σ = 73028583936. Its totient is φ = 7646822400.

The previous prime is 26205054259. The next prime is 26205054263. The reversal of 26205054260 is 6245050262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26205054263) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5154920 + ... + 5160000.

It is an arithmetic number, because the mean of its divisors is an integer number (380357208).

Almost surely, 226205054260 is an apocalyptic number.

26205054260 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 26205054260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36514291968).

26205054260 is an abundant number, since it is smaller than the sum of its proper divisors (46823529676).

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

26205054260 is a wasteful number, since it uses less digits than its factorization.

26205054260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 26205054260 in words is "twenty-six billion, two hundred five million, fifty-four thousand, two hundred sixty".