Search a number
-
+
4703216316100 = 2252172127572
BaseRepresentation
bin100010001110000110110…
…0010011010111011000100
3121122121211020020212220121
41010130031202122323010
51104024141334103400
614000343332111324
7663540041033401
oct104341542327304
917577736225817
104703216316100
111553693aa8145
1263b621765544
132816856c78a3
141238cb8792a8
158251c5d521a
hex4470d89aec4

4703216316100 has 81 divisors (see below), whose sum is σ = 10842495868533. Its totient is φ = 1770483816960.

The previous prime is 4703216316089. The next prime is 4703216316119. The reversal of 4703216316100 is 16136123074.

The square root of 4703216316100 is 2168690.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1291482236356 + 3411734079744 = 1136434^2 + 1847088^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 368670922 + ... + 368683678.

Almost surely, 24703216316100 is an apocalyptic number.

4703216316100 is the 2168690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4703216316100

4703216316100 is an abundant number, since it is smaller than the sum of its proper divisors (6139279552433).

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

4703216316100 is an equidigital number, since it uses as much as digits as its factorization.

4703216316100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25562 (or 12781 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 4703216316100 in words is "four trillion, seven hundred three billion, two hundred sixteen million, three hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 12757 14450 25514 28900 51028 63785 127570 216869 255140 318925 433738 637850 867476 1084345 1275700 2168690 3686773 4337380 5421725 7373546 10843450 14747092 18433865 21686900 36867730 73735460 92169325 162741049 184338650 325482098 368677300 650964196 813705245 1627410490 2766597833 3254820980 4068526225 5533195666 8137052450 11066391332 13832989165 16274104900 27665978330 47032163161 55331956660 69164945825 94064326322 138329891650 188128652644 235160815805 276659783300 470321631610 940643263220 1175804079025 2351608158050 4703216316100