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12381722505 = 335432132941
BaseRepresentation
bin10111000100000001…
…00001011110001001
31011221220101200012000
423202000201132021
5200324210110010
65404343141213
7615554622225
oct134200413611
934856350160
1012381722505
115284183419
122496744809
131224276a29
148565c5785
154c70237c0
hex2e2021789

12381722505 has 32 divisors (see below), whose sum is σ = 22523867520. Its totient is φ = 6450010560.

The previous prime is 12381722497. The next prime is 12381722539. The reversal of 12381722505 is 50522718321.

12381722505 is a `hidden beast` number, since 1 + 2 + 3 + 81 + 72 + 2 + 505 = 666.

It is not a de Polignac number, because 12381722505 - 23 = 12381722497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12381722505.

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 31 ways as a sum of consecutive naturals, for example, 1060666 + ... + 1072275.

It is an arithmetic number, because the mean of its divisors is an integer number (703870860).

Almost surely, 212381722505 is an apocalyptic number.

12381722505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12381722505 is a deficient number, since it is larger than the sum of its proper divisors (10142145015).

12381722505 is a wasteful number, since it uses less digits than its factorization.

12381722505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132998 (or 2132992 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12381722505 in words is "twelve billion, three hundred eighty-one million, seven hundred twenty-two thousand, five hundred five".

Divisors: 1 3 5 9 15 27 43 45 129 135 215 387 645 1161 1935 5805 2132941 6398823 10664705 19196469 31994115 57589407 91716463 95982345 275149389 287947035 458582315 825448167 1375746945 2476344501 4127240835 12381722505