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12461494241 = 731710719973
BaseRepresentation
bin10111001101100001…
…10100111111100001
31012011110111111102202
423212300310333201
5201010120303431
65420313022545
7620543645000
oct134660647741
935143444382
1012461494241
115315209079
1224b93b4a55
131237957241
1486302cc37
154ce02e8cb
hex2e6c34fe1

12461494241 has 32 divisors (see below), whose sum is σ = 15531782400. Its totient is φ = 9958518528.

The previous prime is 12461494219. The next prime is 12461494259. The reversal of 12461494241 is 14249416421.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-12461494241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12461494195 and 12461494204.

It is not an unprimeable number, because it can be changed into a prime (12461494211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613931 + ... + 633903.

It is an arithmetic number, because the mean of its divisors is an integer number (485368200).

Almost surely, 212461494241 is an apocalyptic number.

It is an amenable number.

12461494241 is a deficient number, since it is larger than the sum of its proper divisors (3070288159).

12461494241 is a wasteful number, since it uses less digits than its factorization.

12461494241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20118 (or 20104 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The spelling of 12461494241 in words is "twelve billion, four hundred sixty-one million, four hundred ninety-four thousand, two hundred forty-one".

Divisors: 1 7 17 49 107 119 343 749 833 1819 5243 5831 12733 19973 36701 89131 139811 339541 623917 978677 2137111 2376787 6850739 14959777 16637509 36330887 104718439 116462563 254316209 733029073 1780213463 12461494241