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1814009645 = 57246116061
BaseRepresentation
bin110110000011111…
…1001011100101101
311200102101020102102
41230013321130231
512203341302040
6500000304445
762644553600
oct15407713455
94612336372
101814009645
11850a63328
12427612125
1322ba869b6
14132cc2337
15a93c4515
hex6c1f972d

1814009645 has 24 divisors (see below), whose sum is σ = 2537860248. Its totient is φ = 1241116800.

The previous prime is 1814009623. The next prime is 1814009647. The reversal of 1814009645 is 5469004181.

It can be written as a sum of positive squares in 4 ways, for example, as 22857961 + 1791151684 = 4781^2 + 42322^2 .

It is not a de Polignac number, because 1814009645 - 26 = 1814009581 is a prime.

It is a super-3 number, since 3×18140096453 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1814009599 and 1814009608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1814009647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104915 + ... + 120975.

It is an arithmetic number, because the mean of its divisors is an integer number (105744177).

Almost surely, 21814009645 is an apocalyptic number.

It is an amenable number.

1814009645 is a deficient number, since it is larger than the sum of its proper divisors (723850603).

1814009645 is a wasteful number, since it uses less digits than its factorization.

1814009645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16541 (or 16534 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 1814009645 is about 42591.1921058803. The cubic root of 1814009645 is about 1219.5881537827.

The spelling of 1814009645 in words is "one billion, eight hundred fourteen million, nine thousand, six hundred forty-five".

Divisors: 1 5 7 35 49 245 461 2305 3227 16061 16135 22589 80305 112427 112945 562135 786989 3934945 7404121 37020605 51828847 259144235 362801929 1814009645