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261444453106525 = 52131818144246437
BaseRepresentation
bin111011011100100001000111…
…110000011000001101011101
31021021200211211110101011021021
4323130201013300120031131
5233232001214443402100
62324013531303004141
7106032511162266043
oct7334410760301535
91237624743334237
10261444453106525
1176338a73a32607
12253a582a439651
13b2b614c261b60
14487bd9c714393
152035b846b2a1a
hexedc847c1835d

261444453106525 has 24 divisors (see below), whose sum is σ = 349148111300744. Its totient is φ = 193056049555200.

The previous prime is 261444453106523. The next prime is 261444453106547. The reversal of 261444453106525 is 525601354444162.

It is a happy number.

261444453106525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 144359696340484 + 117084756766041 = 12014978^2 + 10820571^2 .

It is not a de Polignac number, because 261444453106525 - 21 = 261444453106523 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261444453106523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16214394 + ... + 28032043.

Almost surely, 2261444453106525 is an apocalyptic number.

261444453106525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261444453106525 is a deficient number, since it is larger than the sum of its proper divisors (87703658194219).

261444453106525 is a wasteful number, since it uses less digits than its factorization.

261444453106525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44264641 (or 44264636 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 52.

The spelling of 261444453106525 in words is "two hundred sixty-one trillion, four hundred forty-four billion, four hundred fifty-three million, one hundred six thousand, five hundred twenty-five".

Divisors: 1 5 13 25 65 325 18181 90905 236353 454525 1181765 5908825 44246437 221232185 575203681 1106160925 2876018405 14380092025 804444471097 4022222355485 10457778124261 20111111777425 52288890621305 261444453106525