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4165060014 = 234532272137
BaseRepresentation
bin1111100001000001…
…1100010110101110
3101202021021222020000
43320100130112232
532012223410024
61525143405130
7205133266053
oct37020342656
911667258200
104165060014
111848082265
12982a537a6
13514b9436b
142b723d02a
151959cbcc9
hexf841c5ae

4165060014 has 80 divisors (see below), whose sum is σ = 9555269328. Its totient is φ = 1355522688.

The previous prime is 4165060001. The next prime is 4165060019. The reversal of 4165060014 is 4100605614.

4165060014 is a `hidden beast` number, since 4 + 1 + 6 + 50 + 600 + 1 + 4 = 666.

4165060014 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4165060014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165060019) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1947954 + ... + 1950090.

Almost surely, 24165060014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165060014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777634664).

4165060014 is an abundant number, since it is smaller than the sum of its proper divisors (5390209314).

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

4165060014 is a wasteful number, since it uses less digits than its factorization.

4165060014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4165060014 is about 64537.2761588216. The cubic root of 4165060014 is about 1608.9421202738.

Adding to 4165060014 its reverse (4100605614), we get a palindrome (8265665628).

The spelling of 4165060014 in words is "four billion, one hundred sixty-five million, sixty thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 227 318 454 477 681 954 1362 1431 2043 2137 2862 4086 4274 4293 6129 6411 8586 12031 12258 12822 18387 19233 24062 36093 36774 38466 57699 72186 108279 113261 115398 173097 216558 226522 324837 339783 346194 485099 649674 679566 970198 974511 1019349 1455297 1949022 2038698 2910594 3058047 4365891 6116094 8731782 9174141 13097673 18348282 25710247 26195346 39293019 51420494 77130741 78586038 154261482 231392223 462784446 694176669 1388353338 2082530007 4165060014