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12332033312641 = 717434721090997
BaseRepresentation
bin1011001101110100011001…
…1101110000011110000001
31121122221010121100000111021
42303131012131300132001
53104022001012001031
642121131412145441
72411650165422040
oct263350635603601
947587117300437
1012332033312641
113a24a93344aa9
121472045008281
136b5ba0c22653
14308c33216557
15165bb799b511
hexb3746770781

12332033312641 has 48 divisors (see below), whose sum is σ = 15601655431296. Its totient is φ = 9510412875264.

The previous prime is 12332033312633. The next prime is 12332033312657. The reversal of 12332033312641 is 14621333023321.

12332033312641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12332033312641 - 23 = 12332033312633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12332033312597 and 12332033312606.

It is not an unprimeable number, because it can be changed into a prime (12332033312611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10757955 + ... + 11848951.

It is an arithmetic number, because the mean of its divisors is an integer number (325034488152).

Almost surely, 212332033312641 is an apocalyptic number.

It is an amenable number.

12332033312641 is a deficient number, since it is larger than the sum of its proper divisors (3269622118655).

12332033312641 is a wasteful number, since it uses less digits than its factorization.

12332033312641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091158 (or 1091111 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

Adding to 12332033312641 its reverse (14621333023321), we get a palindrome (26953366335962).

The spelling of 12332033312641 in words is "twelve trillion, three hundred thirty-two billion, thirty-three million, three hundred twelve thousand, six hundred forty-one".

Divisors: 1 7 17 43 47 119 301 329 731 799 2021 2209 5117 5593 14147 15463 34357 37553 94987 240499 262871 664909 1090997 1614779 7636979 11303453 18546949 46912871 51276859 129828643 328390097 358938013 797518807 871706603 2204904937 2410012373 5582631649 6101946221 15434334559 16870086611 37483383929 40970210341 103630532039 262383687503 286791472387 725413724273 1761719044663 12332033312641