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4197382189 = 721121325971
BaseRepresentation
bin1111101000101110…
…1111100000101101
3101211112010002220121
43322023233200231
532044012212224
61532300244541
7206005105600
oct37213574055
911745102817
104197382189
111864349400
12991840751
1351b7a0300
142bb654337
15198763be4
hexfa2ef82d

4197382189 has 108 divisors (see below), whose sum is σ = 5993235360. Its totient is φ = 2926123200.

The previous prime is 4197382187. The next prime is 4197382199. The reversal of 4197382189 is 9812837914.

It is not a de Polignac number, because 4197382189 - 21 = 4197382187 is a prime.

Its product of digits (870912) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4197382181) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 59118024 + ... + 59118094.

It is an arithmetic number, because the mean of its divisors is an integer number (55492920).

Almost surely, 24197382189 is an apocalyptic number.

4197382189 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4197382189 is a deficient number, since it is larger than the sum of its proper divisors (1795853171).

4197382189 is a wasteful number, since it uses less digits than its factorization.

4197382189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 161 counting only the distinct ones).

The product of its digits is 870912, while the sum is 52.

The square root of 4197382189 is about 64787.2069856388. The cubic root of 4197382189 is about 1613.0933659389.

The spelling of 4197382189 in words is "four billion, one hundred ninety-seven million, three hundred eighty-two thousand, one hundred eighty-nine".

Divisors: 1 7 11 13 49 59 71 77 91 121 143 169 413 497 539 637 649 767 781 847 923 1001 1183 1573 1859 2891 3479 4189 4543 5369 5467 5929 6461 7007 7139 8281 8437 8591 9971 10153 11011 11999 13013 20449 29323 31801 37583 38269 45227 46079 49973 54457 59059 60137 69797 71071 77077 83993 91091 92807 109681 111683 131989 143143 205261 322553 349811 381199 413413 420959 488579 497497 506869 587951 599027 649649 707941 767767 781781 923923 1002001 1206491 1451879 2257871 2668393 3548083 4193189 4547543 4955587 5374369 5472467 6467461 6589297 7787351 8445437 10163153 24836581 29352323 34689109 46125079 54511457 59118059 71142071 85660861 322875553 381580199 599626027 4197382189