Search a number
-
+
1916777142 = 233741337367
BaseRepresentation
bin111001000111111…
…1011001010110110
311221120202100221000
41302033323022312
512411143332032
6514111104130
765333223360
oct16217731266
94846670830
101916777142
118a3a75045
12455b12046
13247159077
141427d3d30
15b3423e7c
hex723fb2b6

1916777142 has 128 divisors (see below), whose sum is σ = 5015162880. Its totient is φ = 531256320.

The previous prime is 1916777129. The next prime is 1916777143. The reversal of 1916777142 is 2417776191.

It is a super-2 number, since 2×19167771422 = 7348069224187376328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1916777143) 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 63 ways as a sum of consecutive naturals, for example, 5222643 + ... + 5223009.

It is an arithmetic number, because the mean of its divisors is an integer number (39180960).

Almost surely, 21916777142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1916777142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507581440).

1916777142 is an abundant number, since it is smaller than the sum of its proper divisors (3098385738).

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

1916777142 is a wasteful number, since it uses less digits than its factorization.

1916777142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 757 counting only the distinct ones).

The product of its digits is 148176, while the sum is 45.

The square root of 1916777142 is about 43781.0134875839. The cubic root of 1916777142 is about 1242.1971844969.

The spelling of 1916777142 in words is "one billion, nine hundred sixteen million, seven hundred seventy-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 189 246 287 337 367 369 378 574 674 734 738 861 1011 1101 1107 1722 2022 2202 2214 2359 2569 2583 3033 3303 4718 5138 5166 6066 6606 7077 7707 7749 9099 9909 13817 14154 15047 15414 15498 18198 19818 21231 23121 27634 30094 41451 42462 45141 46242 63693 69363 82902 90282 96719 105329 123679 124353 127386 135423 138726 193438 210658 247358 248706 270846 290157 315987 371037 373059 406269 580314 631974 742074 746118 812538 865753 870471 947961 1113111 1731506 1740942 1895922 2226222 2597259 2611413 2843883 3339333 5070839 5194518 5222826 5687766 6678666 7791777 10141678 15212517 15583554 23375331 30425034 35495873 45637551 46750662 70991746 91275102 106487619 136912653 212975238 273825306 319462857 638925714 958388571 1916777142