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13162544145 = 34532500109
BaseRepresentation
bin11000100001000110…
…00111110000010001
31020222022122112010000
430100203013300101
5203424102403040
610014035000213
7644115531162
oct142043076021
936868575100
1013162544145
115644a05263
122674139069
131319c7347a
148cc19b769
1552085d130
hex3108c7c11

13162544145 has 20 divisors (see below), whose sum is σ = 23595079860. Its totient is φ = 7020023328.

The previous prime is 13162544141. The next prime is 13162544147. The reversal of 13162544145 is 54144526131.

13162544145 is a `hidden beast` number, since 13 + 1 + 62 + 544 + 1 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5282963856 + 7879580289 = 72684^2 + 88767^2 .

It is not a de Polignac number, because 13162544145 - 22 = 13162544141 is a prime.

It is a super-3 number, since 3×131625441453 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13162544141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16249650 + ... + 16250459.

It is an arithmetic number, because the mean of its divisors is an integer number (1179753993).

Almost surely, 213162544145 is an apocalyptic number.

13162544145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13162544145 is a deficient number, since it is larger than the sum of its proper divisors (10432535715).

13162544145 is an equidigital number, since it uses as much as digits as its factorization.

13162544145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32500126 (or 32500117 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 13162544145 in words is "thirteen billion, one hundred sixty-two million, five hundred forty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 32500109 97500327 162500545 292500981 487501635 877502943 1462504905 2632508829 4387514715 13162544145