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1630972093347 = 3247331106110979
BaseRepresentation
bin10111101110111101100…
…000110010001110100011
312202220211020201211201200
4113232331200302032203
5203210212323441342
63245131440132243
7225556003024212
oct27567540621643
95686736654650
101630972093347
11579767255653
12224115307083
13baa528070ac
1458d21c9b079
152c65a72a94c
hex17bbd8323a3

1630972093347 has 48 divisors (see below), whose sum is σ = 2415736327680. Its totient is φ = 1059868814400.

The previous prime is 1630972093337. The next prime is 1630972093363. The reversal of 1630972093347 is 7433902790361.

1630972093347 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 97 + 209 + 3 + 347 = 666.

It is not a de Polignac number, because 1630972093347 - 223 = 1630963704739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1630972093293 and 1630972093302.

It is not an unprimeable number, because it can be changed into a prime (1630972093307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 148548304 + ... + 148559282.

It is an arithmetic number, because the mean of its divisors is an integer number (50327840160).

Almost surely, 21630972093347 is an apocalyptic number.

1630972093347 is a deficient number, since it is larger than the sum of its proper divisors (784764234333).

1630972093347 is a wasteful number, since it uses less digits than its factorization.

1630972093347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12424 (or 12421 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 1630972093347 in words is "one trillion, six hundred thirty billion, nine hundred seventy-two million, ninety-three thousand, three hundred forty-seven".

Divisors: 1 3 9 47 141 331 423 993 1061 2979 3183 9549 10979 15557 32937 46671 49867 98811 140013 149601 351191 448803 516013 1053573 1548039 3160719 3634049 4644117 10902147 11648719 16505977 32706441 34946157 49517931 104838471 148553793 170800303 512400909 547489793 1537202727 1642469379 3855725989 4927408137 11567177967 34701533901 181219121483 543657364449 1630972093347