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13162566131145 = 3254714874185229
BaseRepresentation
bin1011111110001010011000…
…0101000001110111001001
31201121022212212100122102200
42333202212011001313021
53211123413412144040
643554444400550413
72525651442044454
oct277424605016711
951538785318380
1013162566131145
1142152384851a2
121586bb0922409
137462bc76a022
1433710068249b
1517c5c6564630
hexbf8a6141dc9

13162566131145 has 48 divisors (see below), whose sum is σ = 23316217666560. Its totient is φ = 6866050684032.

The previous prime is 13162566131131. The next prime is 13162566131147. The reversal of 13162566131145 is 54113166526131.

13162566131145 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 25 + 6 + 613 + 1 + 1 + 4 + 5 = 666.

13162566131145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13162566131145 - 215 = 13162566098377 is a prime.

It is a super-2 number, since 2×131625661311452 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13162566131145.

It is not an unprimeable number, because it can be changed into a prime (13162566131147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1052391 + ... + 5237619.

It is an arithmetic number, because the mean of its divisors is an integer number (485754534720).

Almost surely, 213162566131145 is an apocalyptic number.

13162566131145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13162566131145 is a deficient number, since it is larger than the sum of its proper divisors (10153651535415).

13162566131145 is a wasteful number, since it uses less digits than its factorization.

13162566131145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186774 (or 4186771 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 13162566131145 in words is "thirteen trillion, one hundred sixty-two billion, five hundred sixty-six million, one hundred thirty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 47 141 235 423 705 1487 2115 4461 7435 13383 22305 66915 69889 209667 349445 629001 1048335 3145005 4185229 12555687 20926145 37667061 62778435 188335305 196705763 590117289 983528815 1770351867 2950586445 6223435523 8851759335 18670306569 31117177615 56010919707 93351532845 280054598535 292501469581 877504408743 1462507347905 2632513226229 4387522043715 13162566131145