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12353323104 = 2532534671733
BaseRepresentation
bin10111000000101000…
…01100000001100000
31011212220221211112100
423200110030001200
5200244422314404
65401450330400
7615061341153
oct134024140140
934786854470
1012353323104
11526a146541
122489129a00
13121b412455
14852911c9a
154c47b3d39
hex2e050c060

12353323104 has 144 divisors (see below), whose sum is σ = 35889929712. Its totient is φ = 4029103104.

The previous prime is 12353323079. The next prime is 12353323117. The reversal of 12353323104 is 40132335321.

12353323104 is a `hidden beast` number, since 1 + 2 + 3 + 533 + 23 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7127422 + ... + 7129154.

It is an arithmetic number, because the mean of its divisors is an integer number (249235623).

Almost surely, 212353323104 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 12353323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17944964856).

12353323104 is an abundant number, since it is smaller than the sum of its proper divisors (23536606608).

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

12353323104 is a wasteful number, since it uses less digits than its factorization.

12353323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 12353323104 its reverse (40132335321), we get a palindrome (52485658425).

The spelling of 12353323104 in words is "twelve billion, three hundred fifty-three million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 467 477 636 848 934 954 1272 1401 1696 1733 1868 1908 2544 2802 3466 3736 3816 4203 5088 5199 5604 6932 7472 7632 8406 10398 11208 13864 14944 15264 15597 16812 20796 22416 24751 27728 31194 33624 41592 44832 49502 55456 62388 67248 74253 83184 91849 99004 124776 134496 148506 166368 183698 198008 222759 249552 275547 297012 367396 396016 445518 499104 551094 594024 734792 792032 809311 826641 891036 1102188 1188048 1469584 1618622 1653282 1782072 2204376 2376096 2427933 2939168 3237244 3306564 3564144 4408752 4855866 6474488 6613128 7128288 7283799 8817504 9711732 12948976 13226256 14567598 19423464 25897952 26452512 29135196 38846928 42893483 58270392 77693856 85786966 116540784 128680449 171573932 233081568 257360898 343147864 386041347 514721796 686295728 772082694 1029443592 1372591456 1544165388 2058887184 3088330776 4117774368 6176661552 12353323104