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182304680440 = 23517327679521
BaseRepresentation
bin1010100111001000110…
…1001010100111111000
3122102120010102022110111
42221302031022213320
510441324444233230
6215425525554104
716112452134031
oct2516215124770
9572503368414
10182304680440
117035126a763
122b3b9575934
1314264267b9c
148b75d25a88
154b1ec0192a
hex2a7234a9f8

182304680440 has 64 divisors (see below), whose sum is σ = 412748991360. Its totient is φ = 72466544640.

The previous prime is 182304680417. The next prime is 182304680447. The reversal of 182304680440 is 44086403281.

It is a happy number.

182304680440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 182304680393 and 182304680402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182304680447) 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 15 ways as a sum of consecutive naturals, for example, 19142880 + ... + 19152400.

It is an arithmetic number, because the mean of its divisors is an integer number (6449202990).

Almost surely, 2182304680440 is an apocalyptic number.

182304680440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

182304680440 is an abundant number, since it is smaller than the sum of its proper divisors (230444310920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

182304680440 is a wasteful number, since it uses less digits than its factorization.

182304680440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12472 (or 12468 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 182304680440 in words is "one hundred eighty-two billion, three hundred four million, six hundred eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 1384 1730 2767 3460 5534 6920 9521 11068 13835 19042 22136 27670 38084 47605 55340 76168 95210 110680 190420 380840 478691 957382 1647133 1914764 2393455 3294266 3829528 4786910 6588532 8235665 9573820 13177064 16471330 19147640 26344607 32942660 52689214 65885320 105378428 131723035 210756856 263446070 526892140 1053784280 4557617011 9115234022 18230468044 22788085055 36460936088 45576170110 91152340220 182304680440