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131945477049 = 321210812
BaseRepresentation
bin111101011100010010…
…0000011001110111001
3110121120111200201102100
41322320210003032321
54130211020231144
6140340453254013
712350506023051
oct1727044031671
9417514621370
10131945477049
1150a59866901
12216a4334309
13c599c6bb99
146559a10561
153673a56269
hex1eb89033b9

131945477049 has 9 divisors (see below), whose sum is σ = 190589485359. Its totient is φ = 87962924880.

The previous prime is 131945477021. The next prime is 131945477063. The reversal of 131945477049 is 940774549131.

The square root of 131945477049 is 363243.

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

131945477049 is a `hidden beast` number, since 1 + 3 + 1 + 94 + 547 + 7 + 0 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43950187449 + 87995289600 = 209643^2 + 296640^2 .

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

It is not a de Polignac number, because 131945477049 - 27 = 131945476921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131945476986 and 131945477004.

It is not an unprimeable number, because it can be changed into a prime (131945477099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1029189 + ... + 1150269.

Almost surely, 2131945477049 is an apocalyptic number.

131945477049 is the 363243-rd square number.

131945477049 is the 181622-nd centered octagonal number.

It is an amenable number.

131945477049 is a deficient number, since it is larger than the sum of its proper divisors (58644008310).

131945477049 is an frugal number, since it uses more digits than its factorization.

131945477049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242168 (or 121084 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 131945477049 in words is "one hundred thirty-one billion, nine hundred forty-five million, four hundred seventy-seven thousand, forty-nine".

Divisors: 1 3 9 121081 363243 1089729 14660608561 43981825683 131945477049