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1682864317069 = 13173713745201
BaseRepresentation
bin11000011111010010100…
…001111010001010001101
312221212202201002221022121
4120133102201322022031
5210033001231121234
63325032554412541
7232403642451205
oct30372241721215
95855681087277
101682864317069
11599776042361
12232197a31151
13c29025b7010
145b645a2d405
152db962944b4
hex187d287a28d

1682864317069 has 8 divisors (see below), whose sum is σ = 1812328283192. Its totient is φ = 1553402188800.

The previous prime is 1682864317051. The next prime is 1682864317117. The reversal of 1682864317069 is 9607134682861.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 534087640969 + 1148776676100 = 730813^2 + 1071810^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1682864317069 - 25 = 1682864317037 is a prime.

It is a super-3 number, since 3×16828643170693 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1682864316998 and 1682864317016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682864311069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1885669 + ... + 2630869.

It is an arithmetic number, because the mean of its divisors is an integer number (226541035399).

Almost surely, 21682864317069 is an apocalyptic number.

It is an amenable number.

1682864317069 is a deficient number, since it is larger than the sum of its proper divisors (129463966123).

1682864317069 is a wasteful number, since it uses less digits than its factorization.

1682864317069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918927.

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 1682864317069 in words is "one trillion, six hundred eighty-two billion, eight hundred sixty-four million, three hundred seventeen thousand, sixty-nine".

Divisors: 1 13 173713 745201 2258269 9687613 129451101313 1682864317069