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14921741000 = 235328352727
BaseRepresentation
bin11011110010110011…
…11011001011001000
31102111220212222112002
431321121323023020
5221024431203000
610504400410132
71035526464035
oct157131731310
942456788462
1014921741000
116367a2a961
122a85316948
13153a57825a
14a17a9238c
155c50068d5
hex37967b2c8

14921741000 has 64 divisors (see below), whose sum is σ = 35040919680. Its totient is φ = 5947492800.

The previous prime is 14921740987. The next prime is 14921741011. The reversal of 14921741000 is 14712941.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256637 + ... + 309363.

It is an arithmetic number, because the mean of its divisors is an integer number (547514370).

Almost surely, 214921741000 is an apocalyptic number.

14921741000 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 14921741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520459840).

14921741000 is an abundant number, since it is smaller than the sum of its proper divisors (20119178680).

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

14921741000 is a wasteful number, since it uses less digits than its factorization.

14921741000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53031 (or 53017 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 14921741000 in words is "fourteen billion, nine hundred twenty-one million, seven hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 283 500 566 1000 1132 1415 2264 2830 5660 7075 11320 14150 28300 35375 52727 56600 70750 105454 141500 210908 263635 283000 421816 527270 1054540 1318175 2109080 2636350 5272700 6590875 10545400 13181750 14921741 26363500 29843482 52727000 59686964 74608705 119373928 149217410 298434820 373043525 596869640 746087050 1492174100 1865217625 2984348200 3730435250 7460870500 14921741000