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14164521774 = 23131929713217
BaseRepresentation
bin11010011000100010…
…10111001100101110
31100120011001021000120
431030101113030232
5213002104144044
610301310505410
71011003306564
oct151421271456
940504037016
1014164521774
116009559947
1228b3805266
131449723840
149852a1a34
1557d7d0519
hex34c45732e

14164521774 has 64 divisors (see below), whose sum is σ = 32134690560. Its totient is φ = 4126256640.

The previous prime is 14164521773. The next prime is 14164521857. The reversal of 14164521774 is 47712546141.

14164521774 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141645217742 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14164521773) 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 31 ways as a sum of consecutive naturals, for example, 4401414 + ... + 4404630.

It is an arithmetic number, because the mean of its divisors is an integer number (502104540).

Almost surely, 214164521774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14164521774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067345280).

14164521774 is an abundant number, since it is smaller than the sum of its proper divisors (17970168786).

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

14164521774 is a wasteful number, since it uses less digits than its factorization.

14164521774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6225.

The product of its digits is 188160, while the sum is 42.

The spelling of 14164521774 in words is "fourteen billion, one hundred sixty-four million, five hundred twenty-one thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 2971 3217 5942 6434 8913 9651 17826 19302 38623 41821 56449 61123 77246 83642 112898 115869 122246 125463 169347 183369 231738 250926 338694 366738 733837 794599 1467674 1589198 2201511 2383797 4403022 4767594 9557707 19115414 28673121 57346242 124250191 181596433 248500382 363192866 372750573 544789299 745501146 1089578598 2360753629 4721507258 7082260887 14164521774