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12330002432 = 211111015419
BaseRepresentation
bin10110111101110110…
…01110100000000000
31011211022002000120202
423132323032200000
5200222440034212
65355254424332
7614356201646
oct133673164000
934738060522
1012330002432
115257a68360
1224813620a8
131216638737
1484d7a1196
154c27090c2
hex2deece800

12330002432 has 96 divisors (see below), whose sum is σ = 27166557600. Its totient is φ = 5548032000.

The previous prime is 12330002431. The next prime is 12330002441. The reversal of 12330002432 is 23420003321.

It is not an unprimeable number, because it can be changed into a prime (12330002431) 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, 2272619 + ... + 2278037.

It is an arithmetic number, because the mean of its divisors is an integer number (282984975).

Almost surely, 212330002432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13583278800).

12330002432 is an abundant number, since it is smaller than the sum of its proper divisors (14836555168).

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

12330002432 is a wasteful number, since it uses less digits than its factorization.

12330002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12330002432 its reverse (23420003321), we get a palindrome (35750005753).

The spelling of 12330002432 in words is "twelve billion, three hundred thirty million, two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 256 352 404 512 704 808 1024 1111 1408 1616 2048 2222 2816 3232 4444 5419 5632 6464 8888 10838 11264 12928 17776 21676 22528 25856 35552 43352 51712 59609 71104 86704 103424 119218 142208 173408 206848 238436 284416 346816 476872 547319 568832 693632 953744 1094638 1137664 1387264 1907488 2189276 2275328 2774528 3814976 4378552 5549056 6020509 7629952 8757104 11098112 12041018 15259904 17514208 24082036 30519808 35028416 48164072 61039616 70056832 96328144 122079232 140113664 192656288 280227328 385312576 560454656 770625152 1120909312 1541250304 3082500608 6165001216 12330002432