Search a number
-
+
21330426546650 = 252132331117712601
BaseRepresentation
bin1001101100110011000000…
…11111110100100111011010
32210112011120002201200021002
410312121200133310213122
510243434203143443100
6113211021312145002
74331033566050344
oct466314037644732
983464502650232
1021330426546650
116884201780051
122485b90838162
13bb95b1c4aa20
1453a580766294
1526ecc008e2d5
hex1366607f49da

21330426546650 has 96 divisors (see below), whose sum is σ = 42917105348208. Its totient is φ = 7840723968000.

The previous prime is 21330426546599. The next prime is 21330426546829. The reversal of 21330426546650 is 5664562403312.

It can be written as a sum of positive squares in 24 ways, for example, as 2690423343001 + 18640003203649 = 1640251^2 + 4317407^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21330426546595 and 21330426546604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692750350 + ... + 1692762950.

Almost surely, 221330426546650 is an apocalyptic number.

21330426546650 is an abundant number, since it is smaller than the sum of its proper divisors (21586678801558).

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

21330426546650 is a wasteful number, since it uses less digits than its factorization.

21330426546650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24036 (or 24031 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 47.

Adding to 21330426546650 its reverse (5664562403312), we get a palindrome (26994988949962).

The spelling of 21330426546650 in words is "twenty-one trillion, three hundred thirty billion, four hundred twenty-six million, five hundred forty-six thousand, six hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 233 325 466 650 1165 2330 3029 5825 6058 11177 11650 12601 15145 22354 25202 30290 55885 63005 75725 111770 126010 145301 151450 163813 279425 290602 315025 327626 558850 630050 726505 819065 1453010 1638130 2604241 2936033 3632525 4095325 5208482 5872066 7265050 8190650 13021205 14680165 26042410 29360330 33855133 38168429 65106025 67710266 73400825 76336858 130212050 140841377 146801650 169275665 190842145 281682754 338551330 381684290 704206885 846378325 954210725 1408413770 1692756650 1830937901 1908421450 3521034425 3661875802 7042068850 9154689505 18309379010 32816040841 45773447525 65632081682 91546895050 164080204205 328160408410 426608530933 820401021025 853217061866 1640802042050 2133042654665 4266085309330 10665213273325 21330426546650