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668011839 = 311223293189
BaseRepresentation
bin100111110100010…
…000110100111111
31201112222111222020
4213310100310333
52332002334324
6150141451223
722361002245
oct4764206477
91645874866
10668011839
11313091200
12167870b13
13a851c4a1
1464a0c795
153d9a4679
hex27d10d3f

668011839 has 96 divisors (see below), whose sum is σ = 1103155200. Its totient is φ = 357772800.

The previous prime is 668011829. The next prime is 668011853. The reversal of 668011839 is 938110866.

It is not a de Polignac number, because 668011839 - 220 = 666963263 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 668011839.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668011829) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7505707 + ... + 7505795.

It is an arithmetic number, because the mean of its divisors is an integer number (11491200).

Almost surely, 2668011839 is an apocalyptic number.

668011839 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

668011839 is a deficient number, since it is larger than the sum of its proper divisors (435143361).

668011839 is a wasteful number, since it uses less digits than its factorization.

668011839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 668011839 is about 25845.9249979566. The cubic root of 668011839 is about 874.1676281313.

The spelling of 668011839 in words is "six hundred sixty-eight million, eleven thousand, eight hundred thirty-nine".

Divisors: 1 3 11 23 29 31 33 69 87 89 93 121 253 267 319 341 363 667 713 759 899 957 979 1023 2001 2047 2139 2581 2697 2759 2783 2937 3509 3751 6141 7337 7743 7843 8277 8349 9889 10527 10769 11253 20677 22011 22517 23529 28391 29667 30349 32307 59363 62031 63457 67551 80011 80707 85173 86273 91047 108779 178089 190371 227447 240033 242121 247687 258819 312301 326337 333839 652993 682341 698027 743061 880121 936903 1001517 1840253 1958979 2094081 2501917 2640363 5520759 7182923 7505751 7678297 9681331 20242783 21548769 23034891 29043993 60728349 222670613 668011839