Search a number
-
+
461643452202350 = 252111146437321439
BaseRepresentation
bin110100011110111001011110…
…1111110110011110101101110
32020112112200102220220200221002
41220331302331332303311232
5441002031242230433400
64313500024005440302
7166144432046202605
oct15075627576636556
92215480386820832
10461643452202350
11124103985825a20
1243939716110092
1316a78a383772c2
1481dd93b514a3c
153858613db6ed5
hex1a3dcbdfb3d6e

461643452202350 has 48 divisors (see below), whose sum is σ = 936724830773760. Its totient is φ = 167868859039200.

The previous prime is 461643452202349. The next prime is 461643452202353. The reversal of 461643452202350 is 53202254346164.

It is a super-2 number, since 2×4616434522023502 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 461643452202295 and 461643452202304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461643452202353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59392931 + ... + 66714369.

It is an arithmetic number, because the mean of its divisors is an integer number (19515100641120).

Almost surely, 2461643452202350 is an apocalyptic number.

461643452202350 is an abundant number, since it is smaller than the sum of its proper divisors (475081378571410).

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

461643452202350 is a wasteful number, since it uses less digits than its factorization.

461643452202350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7436105 (or 7436100 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 47.

The spelling of 461643452202350 in words is "four hundred sixty-one trillion, six hundred forty-three billion, four hundred fifty-two million, two hundred two thousand, three hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 275 550 114643 229286 573215 1146430 1261073 2522146 2866075 5732150 6305365 7321439 12610730 14642878 31526825 36607195 63053650 73214390 80535829 161071658 183035975 366071950 402679145 805358290 2013395725 4026791450 839351731277 1678703462554 4196758656385 8393517312770 9232869044047 18465738088094 20983793281925 41967586563850 46164345220235 92328690440470 230821726101175 461643452202350