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26140650506568 = 23341319214176283
BaseRepresentation
bin1011111000110010110000…
…01100000000100101001000
310102120000120212202002120000
411330121120030000211020
511411242023012202233
6131332503221403000
75335412455066023
oct574313014004510
9112500525662500
1026140650506568
1183692077a8864
122b22296b69460
13117808bc06240
146652ddc0c1ba
15304ea1bd7d13
hex17c658300948

26140650506568 has 320 divisors, whose sum is σ = 83040046689600. Its totient is φ = 7616287802880.

The previous prime is 26140650506527. The next prime is 26140650506569. The reversal of 26140650506568 is 86560505604162.

26140650506568 is a `hidden beast` number, since 2 + 6 + 14 + 0 + 6 + 505 + 0 + 65 + 68 = 666.

It is a super-2 number, since 2×261406505065682 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26140650506569) 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 79 ways as a sum of consecutive naturals, for example, 342641755 + ... + 342718037.

It is an arithmetic number, because the mean of its divisors is an integer number (259500145905).

Almost surely, 226140650506568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26140650506568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41520023344800).

26140650506568 is an abundant number, since it is smaller than the sum of its proper divisors (56899396183032).

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

26140650506568 is a wasteful number, since it uses less digits than its factorization.

26140650506568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78474 (or 78461 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 26140650506568 in words is "twenty-six trillion, one hundred forty billion, six hundred fifty million, five hundred six thousand, five hundred sixty-eight".