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1668525000 = 2335522247
BaseRepresentation
bin110001101110011…
…1010101111001000
311022021121212000020
41203130322233020
511404120300000
6433322140440
756230141242
oct14334725710
94267555006
101668525000
1178692558a
123a6951720
132078a90cc
1411b851092
159b737ba0
hex6373abc8

1668525000 has 96 divisors (see below), whose sum is σ = 5214041280. Its totient is φ = 444920000.

The previous prime is 1668524987. The next prime is 1668525017. The reversal of 1668525000 is 5258661.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63877 + ... + 86123.

It is an arithmetic number, because the mean of its divisors is an integer number (54312930).

Almost surely, 21668525000 is an apocalyptic number.

1668525000 is a gapful number since it is divisible by the number (10) 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 1668525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607020640).

1668525000 is an abundant number, since it is smaller than the sum of its proper divisors (3545516280).

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

1668525000 is an equidigital number, since it uses as much as digits as its factorization.

1668525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22281 (or 22257 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1668525000 is about 40847.5825478081. The cubic root of 1668525000 is about 1186.0715973790.

The spelling of 1668525000 in words is "one billion, six hundred sixty-eight million, five hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3125 3750 5000 6250 7500 9375 12500 15000 18750 22247 25000 37500 44494 66741 75000 88988 111235 133482 177976 222470 266964 333705 444940 533928 556175 667410 889880 1112350 1334820 1668525 2224700 2669640 2780875 3337050 4449400 5561750 6674100 8342625 11123500 13348200 13904375 16685250 22247000 27808750 33370500 41713125 55617500 66741000 69521875 83426250 111235000 139043750 166852500 208565625 278087500 333705000 417131250 556175000 834262500 1668525000