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12033042513552 = 2432672017618347
BaseRepresentation
bin1010111100011010100100…
…1110010111111010010000
31120121100101102101201010200
42233012221032113322100
53034122132340413202
641331523045455200
72351234003521164
oct257065116277220
946540342351120
1012033042513552
11391a203886345
121424101711500
13693932202b58
142d858c138ca4
1515d018bd9e1c
hexaf1a9397e90

12033042513552 has 120 divisors (see below), whose sum is σ = 34195430938656. Its totient is φ = 3949182978048.

The previous prime is 12033042513529. The next prime is 12033042513607. The reversal of 12033042513552 is 25531524033021.

12033042513552 is a `hidden beast` number, since 1 + 20 + 3 + 30 + 4 + 2 + 51 + 3 + 552 = 666.

It is a super-2 number, since 2×120330425135522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19150843 + ... + 19769189.

Almost surely, 212033042513552 is an apocalyptic number.

12033042513552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033042513552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17097715469328).

12033042513552 is an abundant number, since it is smaller than the sum of its proper divisors (22162388425104).

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

12033042513552 is a wasteful number, since it uses less digits than its factorization.

12033042513552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620445 (or 620436 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 12033042513552 its reverse (25531524033021), we get a palindrome (37564566546573).

The spelling of 12033042513552 in words is "twelve trillion, thirty-three billion, forty-two million, five hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2017 2412 3216 4034 4824 6051 8068 9648 12102 16136 18153 24204 32272 36306 48408 72612 96816 135139 145224 270278 290448 405417 540556 618347 810834 1081112 1216251 1236694 1621668 1855041 2162224 2432502 2473388 3243336 3710082 4865004 4946776 5565123 6486672 7420164 9730008 9893552 11130246 14840328 19460016 22260492 29680656 41429249 44520984 82858498 89041968 124287747 165716996 248575494 331433992 372863241 497150988 662867984 745726482 994301976 1247205899 1491452964 1988603952 2494411798 2982905928 3741617697 4988823596 5965811856 7483235394 9977647192 11224853091 14966470788 19955294384 22449706182 29932941576 44899412364 59865883152 83562795233 89798824728 167125590466 179597649456 250688385699 334251180932 501376771398 668502361864 752065157097 1002753542796 1337004723728 1504130314194 2005507085592 3008260628388 4011014171184 6016521256776 12033042513552