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132308970049 = 612672892
BaseRepresentation
bin111101100111000111…
…0101010101001000001
3110122111211200002002001
41323032032222221001
54131432044020144
6140440520224001
712362511455314
oct1731616525101
9418454602061
10132308970049
1151125a67543
122178600b001
13c62736a7b9
146591dd097b
153695907bd4
hex1ece3aaa41

132308970049 has 27 divisors (see below), whose sum is σ = 138102678441. Its totient is φ = 126757160640.

The previous prime is 132308970011. The next prime is 132308970067. The reversal of 132308970049 is 940079803231.

The square root of 132308970049 is 363743.

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

It can be written as a sum of positive squares in 4 ways, for example, as 85765222449 + 46543747600 = 292857^2 + 215740^2 .

It is not a de Polignac number, because 132308970049 - 215 = 132308937281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132308969990 and 132308970008.

It is not an unprimeable number, because it can be changed into a prime (132308970349) 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 26 ways as a sum of consecutive naturals, for example, 1486617597 + ... + 1486617685.

Almost surely, 2132308970049 is an apocalyptic number.

132308970049 is the 363743-rd square number.

132308970049 is the 181872-nd centered octagonal number.

It is an amenable number.

132308970049 is a deficient number, since it is larger than the sum of its proper divisors (5793708392).

132308970049 is an frugal number, since it uses more digits than its factorization.

132308970049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 132308970049 in words is "one hundred thirty-two billion, three hundred eight million, nine hundred seventy thousand, forty-nine".

Divisors: 1 61 67 89 3721 4087 4489 5429 5963 7921 249307 273829 331169 363743 399521 483181 530707 16703569 22188323 24370781 29474041 32373127 35557369 1486617641 1974760747 2168999509 132308970049