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12417010016 = 251312962073
BaseRepresentation
bin10111001000001110…
…01000100101100000
31012001100210110112212
423210013020211200
5200412223310031
65412043341252
7616463562245
oct134407104540
935040713485
1012417010016
1152a2095454
1224a6521828
13122b680608
1485b16d5cc
154ca19412b
hex2e41c8960

12417010016 has 24 divisors (see below), whose sum is σ = 24632607384. Its totient is φ = 6161109760.

The previous prime is 12417010003. The next prime is 12417010037. The reversal of 12417010016 is 61001071421.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12417009973 and 12417010000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1476845 + ... + 1485228.

It is an arithmetic number, because the mean of its divisors is an integer number (1026358641).

Almost surely, 212417010016 is an apocalyptic number.

12417010016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12417010016 is a deficient number, since it is larger than the sum of its proper divisors (12215597368).

12417010016 is a wasteful number, since it uses less digits than its factorization.

12417010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962214 (or 2962206 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 12417010016 its reverse (61001071421), we get a palindrome (73418081437).

The spelling of 12417010016 in words is "twelve billion, four hundred seventeen million, ten thousand, sixteen".

Divisors: 1 2 4 8 16 32 131 262 524 1048 2096 4192 2962073 5924146 11848292 23696584 47393168 94786336 388031563 776063126 1552126252 3104252504 6208505008 12417010016