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82008769725 = 32521133225517
BaseRepresentation
bin100110001100000011…
…0101000010010111101
321211200022222011000200
41030120012220102331
52320423221112400
6101401352314113
75632153020051
oct1143006502275
9254608864020
1082008769725
11318638a3553
1213a886a2939
13796c35ca5c
143d7d877c61
1521eea14b00
hex13181a84bd

82008769725 has 36 divisors (see below), whose sum is σ = 148186747956. Its totient is φ = 43350935040.

The previous prime is 82008769723. The next prime is 82008769751. The reversal of 82008769725 is 52796780028.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2650499289 + 79358270436 = 51483^2 + 281706^2 .

It is not a de Polignac number, because 82008769725 - 21 = 82008769723 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82008769723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1587334 + ... + 1638183.

Almost surely, 282008769725 is an apocalyptic number.

It is an amenable number.

82008769725 is a deficient number, since it is larger than the sum of its proper divisors (66177978231).

82008769725 is a wasteful number, since it uses less digits than its factorization.

82008769725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225646 (or 3225638 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 82008769725 in words is "eighty-two billion, eight million, seven hundred sixty-nine thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 113 225 339 565 1017 1695 2825 5085 8475 25425 3225517 9676551 16127585 29029653 48382755 80637925 145148265 241913775 364483421 725741325 1093450263 1822417105 3280350789 5467251315 9112085525 16401753945 27336256575 82008769725