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12630277325484 = 223371341149211997
BaseRepresentation
bin1011011111001011011100…
…1100011000001010101100
31122201102221202001122201000
42313302313030120022230
53123413301443403414
642510134100320300
72442336021620340
oct267626714301254
948642852048630
1012630277325484
11402a51a309145
1214bb9ba3a3090
137080510013b0
1431944705b620
1516d820de7b09
hexb7cb73182ac

12630277325484 has 768 divisors, whose sum is σ = 41800647168000. Its totient is φ = 3209484902400.

The previous prime is 12630277325473. The next prime is 12630277325507. The reversal of 12630277325484 is 48452377203621.

12630277325484 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 0 + 27 + 73 + 2 + 548 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12630277325484.

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 255 ways as a sum of consecutive naturals, for example, 12668281674 + ... + 12668282670.

It is an arithmetic number, because the mean of its divisors is an integer number (54427926000).

Almost surely, 212630277325484 is an apocalyptic number.

12630277325484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12630277325484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20900323584000).

12630277325484 is an abundant number, since it is smaller than the sum of its proper divisors (29170369842516).

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

12630277325484 is a wasteful number, since it uses less digits than its factorization.

12630277325484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 12630277325484 in words is "twelve trillion, six hundred thirty billion, two hundred seventy-seven million, three hundred twenty-five thousand, four hundred eighty-four".