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30005327824 = 2441731314783
BaseRepresentation
bin11011111100011101…
…001111011111010000
32212110010022120202221
4123330131033133100
5442422330442244
621441222150424
72111363035603
oct337435173720
985403276687
1030005327824
11117a825299a
125994882414
132aa250c164
14164903433a
15ba932c784
hex6fc74f7d0

30005327824 has 80 divisors (see below), whose sum is σ = 60842605824. Its totient is φ = 14323046400.

The previous prime is 30005327813. The next prime is 30005327843. The reversal of 30005327824 is 42872350003.

It is a self number, because there is not a number n which added to its sum of digits gives 30005327824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6270937 + ... + 6275719.

Almost surely, 230005327824 is an apocalyptic number.

It is an amenable number.

30005327824 is an abundant number, since it is smaller than the sum of its proper divisors (30837278000).

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

30005327824 is a wasteful number, since it uses less digits than its factorization.

30005327824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

Adding to 30005327824 its reverse (42872350003), we get a palindrome (72877677827).

The spelling of 30005327824 in words is "thirty billion, five million, three hundred twenty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 41 73 82 131 146 164 262 292 328 524 584 656 1048 1168 2096 2993 4783 5371 5986 9563 9566 10742 11972 19126 19132 21484 23944 38252 38264 42968 47888 76504 76528 85936 153008 196103 349159 392083 392206 626573 698318 784166 784412 1253146 1396636 1568332 1568824 2506292 2793272 3136664 3137648 5012584 5586544 6273328 10025168 14315519 25689493 28631038 45739829 51378986 57262076 91479658 102757972 114524152 182959316 205515944 229048304 365918632 411031888 731837264 1875332989 3750665978 7501331956 15002663912 30005327824