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3918253973764 = 2213219240072
BaseRepresentation
bin111001000001001010001…
…000101110000100000100
3111212120200212010022012211
4321001022020232010010
51003144041004130024
612200004312553204
7553040662152034
oct71011210560404
914776625108184
103918253973764
1112807a42461a9
125334733b2804
1322564a020900
14d790473b8c4
156bdc9595594
hex3904a22e104

3918253973764 has 81 divisors (see below), whose sum is σ = 7838287479477. Its totient is φ = 1712817089568.

The previous prime is 3918253973747. The next prime is 3918253973779. The reversal of 3918253973764 is 4673793528193.

The square root of 3918253973764 is 1979458.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 579623368900 + 3338630604864 = 761330^2 + 1827192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3918253973764.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 977850249 + ... + 977854255.

Almost surely, 23918253973764 is an apocalyptic number.

3918253973764 is the 1979458-th square number.

It is an amenable number.

3918253973764 is an abundant number, since it is smaller than the sum of its proper divisors (3920033505713).

3918253973764 is an equidigital number, since it uses as much as digits as its factorization.

3918253973764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082 (or 4041 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 67.

The spelling of 3918253973764 in words is "three trillion, nine hundred eighteen billion, two hundred fifty-three million, nine hundred seventy-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 13 19 26 38 52 76 169 247 338 361 494 676 722 988 1444 3211 4007 4693 6422 8014 9386 12844 16028 18772 52091 61009 76133 104182 122018 152266 208364 244036 304532 677183 989729 1354366 1446527 1979458 2708732 2893054 3958916 5786108 12866477 16056049 18804851 25732954 32112098 37609702 51465908 64224196 75219404 208728637 244463063 305064931 417457274 488926126 610129862 834914548 977852252 1220259724 2713472281 3965844103 5426944562 5796233689 7931688206 10853889124 11592467378 15863376412 23184934756 51555973339 75351037957 103111946678 150702075914 206223893356 301404151828 979563493441 1959126986882 3918253973764