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12990300032 = 271710159107
BaseRepresentation
bin11000001100100100…
…00011111110000000
31020112022112121121102
430012102003332000
5203101004100112
65545003113532
7636624504563
oct140622037600
936468477542
1012990300032
11556675a756
1226265128a8
1312c0386888
148b33624da
15510687bc2
hex306483f80

12990300032 has 64 divisors (see below), whose sum is σ = 27673183440. Its totient is φ = 6052454400.

The previous prime is 12990300031. The next prime is 12990300041. The reversal of 12990300032 is 23000309921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12990299968 and 12990300004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12990300031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190223 + ... + 249329.

Almost surely, 212990300032 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 12990300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13836591720).

12990300032 is an abundant number, since it is smaller than the sum of its proper divisors (14682883408).

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

12990300032 is a wasteful number, since it uses less digits than its factorization.

12990300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59239 (or 59227 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

Adding to 12990300032 its reverse (23000309921), we get a palindrome (35990609953).

The spelling of 12990300032 in words is "twelve billion, nine hundred ninety million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 128 136 202 272 404 544 808 1088 1616 1717 2176 3232 3434 6464 6868 12928 13736 27472 54944 59107 109888 118214 219776 236428 472856 945712 1004819 1891424 2009638 3782848 4019276 5969807 7565696 8038552 11939614 16077104 23879228 32154208 47758456 64308416 95516912 101486719 128616832 191033824 202973438 382067648 405946876 764135296 811893752 1623787504 3247575008 6495150016 12990300032