Search a number
-
+
1912168908 = 22321317317753
BaseRepresentation
bin111000111111001…
…0110000111001100
311221021002020121200
41301332112013030
512404003401113
6513424225500
765246111316
oct16176260714
94837066550
101912168908
118a1407891
1245446b290
132462046c0
14141d547b6
15b2d13873
hex71f961cc

1912168908 has 144 divisors (see below), whose sum is σ = 5690071296. Its totient is φ = 535818240.

The previous prime is 1912168903. The next prime is 1912168919. The reversal of 1912168908 is 8098612191.

It is not an unprimeable number, because it can be changed into a prime (1912168903) 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 47 ways as a sum of consecutive naturals, for example, 242760 + ... + 250512.

It is an arithmetic number, because the mean of its divisors is an integer number (39514384).

Almost surely, 21912168908 is an apocalyptic number.

1912168908 is a gapful number since it is divisible by the number (18) 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 1912168908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845035648).

1912168908 is an abundant number, since it is smaller than the sum of its proper divisors (3777902388).

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

1912168908 is a wasteful number, since it uses less digits than its factorization.

1912168908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 1912168908 is about 43728.3535935210. The cubic root of 1912168908 is about 1241.2009064716.

It can be divided in two parts, 1912 and 168908, that added together give a triangular number (170820 = T584).

The spelling of 1912168908 in words is "one billion, nine hundred twelve million, one hundred sixty-eight thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 31 34 36 39 51 52 62 68 78 93 102 117 124 153 156 186 204 221 234 279 306 372 403 442 468 527 558 612 663 806 884 1054 1116 1209 1326 1581 1612 1989 2108 2418 2652 3162 3627 3978 4743 4836 6324 6851 7254 7753 7956 9486 13702 14508 15506 18972 20553 23259 27404 31012 41106 46518 61659 69777 82212 93036 100789 123318 131801 139554 201578 240343 246636 263602 279108 302367 395403 403156 480686 527204 604734 721029 790806 907101 961372 1186209 1209468 1442058 1581612 1713413 1814202 2163087 2372418 2884116 3124459 3426826 3628404 4085831 4326174 4744836 5140239 6248918 6853652 8171662 8652348 9373377 10280478 12257493 12497836 15420717 16343324 18746754 20560956 24514986 28120131 30841434 36772479 37493508 49029972 53115803 56240262 61682868 73544958 106231606 112480524 147089916 159347409 212463212 318694818 478042227 637389636 956084454 1912168908