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12163608137 = 177322814297
BaseRepresentation
bin10110101010000000…
…11110111001001001
31011101200222022112002
423111000132321021
5144402340430022
65330552200345
7610265651252
oct132500367111
934350868462
1012163608137
11518204890a
1224356990b5
1311bb019685
14835649b29
154b2cdc092
hex2d501ee49

12163608137 has 16 divisors (see below), whose sum is σ = 13064303952. Its totient is φ = 11283701760.

The previous prime is 12163608133. The next prime is 12163608151. The reversal of 12163608137 is 73180636121.

It can be written as a sum of positive squares in 8 ways, for example, as 747967801 + 11415640336 = 27349^2 + 106844^2 .

It is a cyclic number.

It is not a de Polignac number, because 12163608137 - 22 = 12163608133 is a prime.

It is a super-2 number, since 2×121636081372 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12163608137.

It is not an unprimeable number, because it can be changed into a prime (12163608133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2828573 + ... + 2832869.

It is an arithmetic number, because the mean of its divisors is an integer number (816518997).

Almost surely, 212163608137 is an apocalyptic number.

12163608137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12163608137 is a deficient number, since it is larger than the sum of its proper divisors (900695815).

12163608137 is a wasteful number, since it uses less digits than its factorization.

12163608137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6668.

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 12163608137 in words is "twelve billion, one hundred sixty-three million, six hundred eight thousand, one hundred thirty-seven".

Divisors: 1 17 73 1241 2281 4297 38777 73049 166513 313681 2830721 5332577 9801457 166624769 715506361 12163608137