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12335132735481 = 346161325035813
BaseRepresentation
bin1011001101111111111100…
…1101000111011111111001
31121200020010121110000022210
42303133333031013133321
53104044322440013411
642122403131405333
72412120042164163
oct263377715073771
947606117400283
1012335132735481
113a26333942286
12147276abb3849
136b62760a7a6a
14309048add933
15165ce9b2dca6
hexb37ff3477f9

12335132735481 has 32 divisors (see below), whose sum is σ = 16518845452032. Its totient is φ = 8187515976960.

The previous prime is 12335132735461. The next prime is 12335132735483. The reversal of 12335132735481 is 18453723153321.

It is a happy number.

It is not a de Polignac number, because 12335132735481 - 25 = 12335132735449 is a prime.

It is a super-2 number, since 2×123351327354812 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12335132735481.

It is not an unprimeable number, because it can be changed into a prime (12335132735483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2121987931 + ... + 2121993743.

It is an arithmetic number, because the mean of its divisors is an integer number (516213920376).

Almost surely, 212335132735481 is an apocalyptic number.

It is an amenable number.

12335132735481 is a deficient number, since it is larger than the sum of its proper divisors (4183712716551).

12335132735481 is a wasteful number, since it uses less digits than its factorization.

12335132735481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9393.

The product of its digits is 1814400, while the sum is 48.

The spelling of 12335132735481 in words is "twelve trillion, three hundred thirty-five billion, one hundred thirty-two million, seven hundred thirty-five thousand, four hundred eighty-one".

Divisors: 1 3 461 613 1383 1839 2503 5813 7509 17439 282593 847779 1153883 1534339 2679793 3461649 3563369 4603017 8039379 10690107 14549939 43649817 707330279 1642713109 2121990837 4928139327 6707521879 8919112607 20122565637 26757337821 4111710911827 12335132735481