Search a number
-
+
41609852713 = 111323611571321
BaseRepresentation
bin100110110000001000…
…111111011100101001
310222101212021112021001
4212300020333130221
51140204110241323
631040523315001
73002062624642
oct466010773451
9128355245231
1041609852713
111671274a230
12809307ba61
133c01757b30
14202a3086c9
151137ed03ad
hex9b023f729

41609852713 has 64 divisors (see below), whose sum is σ = 52215657984. Its totient is φ = 32617728000.

The previous prime is 41609852707. The next prime is 41609852723. The reversal of 41609852713 is 31725890614.

41609852713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 83277-th star number.

It is not a de Polignac number, because 41609852713 - 217 = 41609721641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41609852723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31498093 + ... + 31499413.

It is an arithmetic number, because the mean of its divisors is an integer number (815869656).

It is a 2-persistent number, because it is pandigital, and so is 2⋅41609852713 = 83219705426, but 3⋅41609852713 = 124829558139 is not.

Almost surely, 241609852713 is an apocalyptic number.

It is an amenable number.

41609852713 is a deficient number, since it is larger than the sum of its proper divisors (10605805271).

41609852713 is a wasteful number, since it uses less digits than its factorization.

41609852713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 41609852713 in words is "forty-one billion, six hundred nine million, eight hundred fifty-two thousand, seven hundred thirteen".

Divisors: 1 11 13 23 61 143 157 253 299 671 793 1321 1403 1727 2041 3289 3611 8723 9577 14531 15433 17173 18239 22451 30383 39721 46943 80581 105347 124501 188903 200629 207397 220271 334213 394979 516373 886391 1047553 1369511 1853363 2281367 2422981 2696161 2863523 4344769 4770131 11523083 12651217 20386993 24093719 29657771 31498753 52471441 62011703 139163387 164465821 265030909 290977991 682128733 1809124031 3200757901 3782713883 41609852713