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12320647628464 = 2472110031428257
BaseRepresentation
bin1011001101001001111111…
…0100110100011010110000
31121121211202010011100000201
42303102133310310122300
53103330141243102324
642112005525324544
72411065063620400
oct263223764643260
947554663140021
1012320647628464
113a20180429a5a
12146b9a7b66754
136b4aa8129816
1430847302a800
1516574d125444
hexb349fd346b0

12320647628464 has 60 divisors (see below), whose sum is σ = 27771145673544. Its totient is φ = 5279793964032.

The previous prime is 12320647628453. The next prime is 12320647628477. The reversal of 12320647628464 is 46482674602321.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7912224 + ... + 9340480.

Almost surely, 212320647628464 is an apocalyptic number.

12320647628464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12320647628464 is an abundant number, since it is smaller than the sum of its proper divisors (15450498045080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12320647628464 is a wasteful number, since it uses less digits than its factorization.

12320647628464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439282 (or 1439269 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 55.

The spelling of 12320647628464 in words is "twelve trillion, three hundred twenty billion, six hundred forty-seven million, six hundred twenty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 11003 22006 44012 77021 88024 154042 176048 308084 539147 616168 1078294 1232336 1428257 2156588 2856514 4313176 5713028 8626352 9997799 11426056 19995598 22852112 39991196 69984593 79982392 139969186 159964784 279938372 559876744 1119753488 15715111771 31430223542 62860447084 110005782397 125720894168 220011564794 251441788336 440023129588 770040476779 880046259176 1540080953558 1760092518352 3080161907116 6160323814232 12320647628464