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26105606880 = 253579709971
BaseRepresentation
bin11000010100000000…
…111111001011100000
32111101100022020022220
4120110000333023200
5411431013410010
615554233431040
71612630666023
oct302400771340
974340266286
1026105606880
1110086a30921
12508686b480
1326005cb282
1413991451ba
15a2bcb4970
hex61403f2e0

26105606880 has 192 divisors, whose sum is σ = 83476915200. Its totient is φ = 6856611840.

The previous prime is 26105606843. The next prime is 26105606897. The reversal of 26105606880 is 8860650162.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26884795 + ... + 26885765.

It is an arithmetic number, because the mean of its divisors is an integer number (434775600).

Almost surely, 226105606880 is an apocalyptic number.

26105606880 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 26105606880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41738457600).

26105606880 is an abundant number, since it is smaller than the sum of its proper divisors (57371308320).

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

26105606880 is a wasteful number, since it uses less digits than its factorization.

26105606880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 26105606880 in words is "twenty-six billion, one hundred five million, six hundred six thousand, eight hundred eighty".