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12510512304 = 24319291992377
BaseRepresentation
bin10111010011010111…
…10100010010110000
31012021212201212120120
423221223310102300
5201110142343204
65425223410240
7622010412543
oct135153642260
935255655516
1012510512304
11533a949074
1225118b3980
131244b5a704
1486974c85a
154d34b36d9
hex2e9af44b0

12510512304 has 160 divisors (see below), whose sum is σ = 35384640000. Its totient is φ = 3793692672.

The previous prime is 12510512299. The next prime is 12510512351. The reversal of 12510512304 is 40321501521.

It is a happy number.

12510512304 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 (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5261964 + ... + 5264340.

It is an arithmetic number, because the mean of its divisors is an integer number (221154000).

Almost surely, 212510512304 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 12510512304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692320000).

12510512304 is an abundant number, since it is smaller than the sum of its proper divisors (22874127696).

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

12510512304 is a wasteful number, since it uses less digits than its factorization.

12510512304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 12510512304 in words is "twelve billion, five hundred ten million, five hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 76 87 114 116 152 174 199 228 232 304 348 398 456 464 551 597 696 796 912 1102 1194 1392 1592 1653 2204 2377 2388 3184 3306 3781 4408 4754 4776 5771 6612 7131 7562 8816 9508 9552 11343 11542 13224 14262 15124 17313 19016 22686 23084 26448 28524 30248 34626 38032 45163 45372 46168 57048 60496 68933 69252 90326 90744 92336 109649 114096 135489 137866 138504 180652 181488 206799 219298 270978 275732 277008 328947 361304 413598 438596 473023 541956 551464 657894 722608 827196 877192 946046 1083912 1102928 1309727 1315788 1419069 1654392 1754384 1892092 2167824 2619454 2631576 2838138 3308784 3784184 3929181 5238908 5263152 5676276 7568368 7858362 8987437 10477816 11352552 13717667 15716724 17974874 20955632 22705104 26962311 27435334 31433448 35949748 41153001 53924622 54870668 62866896 71899496 82306002 107849244 109741336 143798992 164612004 215698488 219482672 260635673 329224008 431396976 521271346 658448016 781907019 1042542692 1563814038 2085085384 3127628076 4170170768 6255256152 12510512304