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135871120449 = 321228692
BaseRepresentation
bin111111010001010001…
…1001100010001000001
3110222201002111001210100
41332202203030101001
54211231001323244
6142230205353013
712550004316411
oct1764243142101
9428632431710
10135871120449
1152693783899
12223bab68769
13ca74357abc
14680d12a641
1538034deb69
hex1fa28cc441

135871120449 has 9 divisors (see below), whose sum is σ = 196259882403. Its totient is φ = 90580009752.

The previous prime is 135871120417. The next prime is 135871120459. The reversal of 135871120449 is 944021178531.

The square root of 135871120449 is 368607.

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

135871120449 is a `hidden beast` number, since 1 + 3 + 5 + 87 + 1 + 120 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119399964849 + 16471155600 = 345543^2 + 128340^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 135871120449 - 25 = 135871120417 is a prime.

It is a super-2 number, since 2×1358711204492 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135871120459) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1044387 + ... + 1167255.

Almost surely, 2135871120449 is an apocalyptic number.

135871120449 is the 368607-th square number.

135871120449 is the 184304-th centered octagonal number.

It is an amenable number.

135871120449 is a deficient number, since it is larger than the sum of its proper divisors (60388761954).

135871120449 is an frugal number, since it uses more digits than its factorization.

135871120449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245744 (or 122872 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 135871120449 in words is "one hundred thirty-five billion, eight hundred seventy-one million, one hundred twenty thousand, four hundred forty-nine".

Divisors: 1 3 9 122869 368607 1105821 15096791161 45290373483 135871120449