Search a number
-
+
41765582480 = 245618558521
BaseRepresentation
bin100110111001011011…
…000011011010010000
310222210201022102100012
4212321123003122100
51141013442114410
631104205214052
73005663410406
oct467133033220
9128721272305
1041765582480
1116792645316
128117261328
133c27ab1a1b
142042c85476
1511469e2605
hex9b96c3690

41765582480 has 40 divisors (see below), whose sum is σ = 98696875704. Its totient is φ = 16432358400.

The previous prime is 41765582477. The next prime is 41765582489. The reversal of 41765582480 is 8428556714.

It can be written as a sum of positive squares in 4 ways, for example, as 527345296 + 41238237184 = 22964^2 + 203072^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (41765582489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4274381 + ... + 4284140.

Almost surely, 241765582480 is an apocalyptic number.

41765582480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41765582480 is an abundant number, since it is smaller than the sum of its proper divisors (56931293224).

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

41765582480 is a wasteful number, since it uses less digits than its factorization.

41765582480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8558595 (or 8558589 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 50.

The spelling of 41765582480 in words is "forty-one billion, seven hundred sixty-five million, five hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 8558521 17117042 34234084 42792605 68468168 85585210 136936336 171170420 342340840 522069781 684681680 1044139562 2088279124 2610348905 4176558248 5220697810 8353116496 10441395620 20882791240 41765582480