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12429522592421 = 113158762095763
BaseRepresentation
bin1011010011011111100101…
…0001110110001010100101
31122000020202210121120002012
42310313321101312022211
53112121130240424141
642234013245524005
72422001104552364
oct264677121661245
948006683546065
1012429522592421
113a62370514910
121488b11b73605
136c213951b30c
1430d840a357db
151684c158dceb
hexb4df94762a5

12429522592421 has 16 divisors (see below), whose sum is σ = 14020726745088. Its totient is φ = 10916434959600.

The previous prime is 12429522592363. The next prime is 12429522592439.

12429522592421 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12429522592421 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12429522592421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12429522592621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30847715 + ... + 31248048.

It is an arithmetic number, because the mean of its divisors is an integer number (876295421568).

Almost surely, 212429522592421 is an apocalyptic number.

12429522592421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12429522592421 is a deficient number, since it is larger than the sum of its proper divisors (1591204152667).

12429522592421 is a wasteful number, since it uses less digits than its factorization.

12429522592421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62096392.

The product of its digits is 2073600, while the sum is 50.

The spelling of 12429522592421 in words is "twelve trillion, four hundred twenty-nine billion, five hundred twenty-two million, five hundred ninety-two thousand, four hundred twenty-one".

Divisors: 1 11 31 341 587 6457 18197 200167 62095763 683053393 1924968653 21174655183 36450212881 400952341691 1129956599311 12429522592421