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12333136053304 = 231167151127910831
BaseRepresentation
bin1011001101111000100000…
…1100011000010000111000
31121200000222110100001022001
42303132020030120100320
53104031230312201204
642121433043510344
72412016415521303
oct263361014302070
947600873301261
1012333136053304
113a254a9861420
1214722b23883b4
136b6018522911
14308cd9869b3a
15165c2e6c44a4
hexb3788318438

12333136053304 has 128 divisors (see below), whose sum is σ = 25795480780800. Its totient is φ = 5480933040000.

The previous prime is 12333136053257. The next prime is 12333136053323. The reversal of 12333136053304 is 40335063133321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1138683169 + ... + 1138693999.

It is an arithmetic number, because the mean of its divisors is an integer number (201527193600).

Almost surely, 212333136053304 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 12333136053304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12897740390400).

12333136053304 is an abundant number, since it is smaller than the sum of its proper divisors (13462344727496).

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

12333136053304 is a wasteful number, since it uses less digits than its factorization.

12333136053304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12345 (or 12341 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 37.

Adding to 12333136053304 its reverse (40335063133321), we get a palindrome (52668199186625).

The spelling of 12333136053304 in words is "twelve trillion, three hundred thirty-three billion, one hundred thirty-six million, fifty-three thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 67 88 134 151 268 302 536 604 737 1208 1279 1474 1661 2558 2948 3322 5116 5896 6644 10117 10232 10831 13288 14069 20234 21662 28138 40468 43324 56276 80936 85693 86648 111287 112552 119141 171386 193129 222574 238282 342772 386258 445148 476564 685544 725677 772516 890296 942623 953128 1451354 1545032 1635481 1885246 2124419 2902708 3270962 3770492 4248838 5805416 6541924 7540984 7982447 8497676 12939643 13083848 13852849 15964894 16995352 17990291 25879286 27705698 31929788 35980582 51758572 55411396 63859576 71961164 103517144 109577227 110822792 142336073 143922328 152381339 219154454 284672146 304762678 438308908 569344292 609525356 876617816 928140883 1138688584 1205349497 1219050712 1856281766 2091780199 2410698994 3712563532 4183560398 4821397988 7425127064 8367120796 9642795976 10209549713 16734241592 20419099426 23009582189 40838198852 46019164378 81676397704 92038328756 140149273333 184076657512 280298546666 560597093332 1121194186664 1541642006663 3083284013326 6166568026652 12333136053304