Search a number
-
+
4168245081 = 37111323292081
BaseRepresentation
bin1111100001110010…
…0101111101011001
3101202111021210022110
43320130211331121
532014032320311
61525335542533
7205202333010
oct37034457531
911674253273
104168245081
111849958250
12983b2aa49
1351573b010
142b782ba77
15195e0a8a6
hexf8725f59

4168245081 has 128 divisors (see below), whose sum is σ = 8058839040. Its totient is φ = 1845043200.

The previous prime is 4168245073. The next prime is 4168245083. The reversal of 4168245081 is 1805428614.

It is not a de Polignac number, because 4168245081 - 23 = 4168245073 is a prime.

It is a super-2 number, since 2×41682450812 = 34748534110561393122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4168245083) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2001961 + ... + 2004041.

It is an arithmetic number, because the mean of its divisors is an integer number (62959680).

Almost surely, 24168245081 is an apocalyptic number.

It is an amenable number.

4168245081 is a deficient number, since it is larger than the sum of its proper divisors (3890593959).

4168245081 is a wasteful number, since it uses less digits than its factorization.

4168245081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167.

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 4168245081 is about 64561.9476239681. The cubic root of 4168245081 is about 1609.3521409948.

The spelling of 4168245081 in words is "four billion, one hundred sixty-eight million, two hundred forty-five thousand, eighty-one".

Divisors: 1 3 7 11 13 21 23 29 33 39 69 77 87 91 143 161 203 231 253 273 299 319 377 429 483 609 667 759 897 957 1001 1131 1771 2001 2081 2093 2233 2639 3003 3289 4147 4669 5313 6243 6279 6699 7337 7917 8671 9867 12441 14007 14567 22011 22891 23023 26013 27053 29029 43701 47863 51359 60349 60697 68673 69069 81159 87087 95381 143589 154077 160237 181047 182091 189371 286143 297583 335041 422443 480711 526493 568113 622219 663839 667667 784537 892749 1005123 1267329 1388027 1579479 1866657 1991517 2003001 2083081 2353611 3685451 4164081 4355533 4646873 5491759 6249243 6844409 8629907 9716189 11056353 13066599 13940619 15268297 16475277 18044351 20533227 25889721 29148567 45804891 47910863 54133053 60409349 106878079 126310457 143732589 181228047 198487861 320634237 378931371 595463583 1389415027 4168245081