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26076127777441 = 727294972
BaseRepresentation
bin1011110110111010100100…
…10101010101001010100001
310102022212001011211211210121
411323131102111111022201
511404212402202334231
6131243112511400241
75330636516664100
oct573352225251241
9112285034754717
1026076127777441
118343907366435
122b1188a523081
131171c78474b91
1466213c814037
153034773a7311
hex17b7525552a1

26076127777441 has 9 divisors (see below), whose sum is σ = 30333496342899. Its totient is φ = 22350936027504.

The previous prime is 26076127777439. The next prime is 26076127777463. The reversal of 26076127777441 is 14477772167062.

The square root of 26076127777441 is 5106479.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23680145750625 + 2395982026816 = 4866225^2 + 1547896^2 .

It is not a de Polignac number, because 26076127777441 - 21 = 26076127777439 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26076127777441.

It is not an unprimeable number, because it can be changed into a prime (26076127777741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35380605 + ... + 36110101.

Almost surely, 226076127777441 is an apocalyptic number.

26076127777441 is the 5106479-th square number.

26076127777441 is the 2553240-th centered octagonal number.

It is an amenable number.

26076127777441 is a deficient number, since it is larger than the sum of its proper divisors (4257368565458).

26076127777441 is an frugal number, since it uses more digits than its factorization.

26076127777441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459008 (or 729504 counting only the distinct ones).

The product of its (nonzero) digits is 38723328, while the sum is 61.

The spelling of 26076127777441 in words is "twenty-six trillion, seventy-six billion, one hundred twenty-seven million, seven hundred seventy-seven thousand, four hundred forty-one".

Divisors: 1 7 49 729497 5106479 35745353 532165873009 3725161111063 26076127777441