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136513014016 = 28533253961
BaseRepresentation
bin111111100100011001…
…1110100100100000000
3111001100211022122020011
41333020303310210000
54214034312422031
6142414015354304
712601630321261
oct1771063644400
9431324278204
10136513014016
1152993045a45
1222559b22994
13cb47331092
14687049a968
15383ea356b1
hex1fc8cf4900

136513014016 has 18 divisors (see below), whose sum is σ = 272492774582. Its totient is φ = 68256506880.

The previous prime is 136513014013. The next prime is 136513014017. The reversal of 136513014016 is 610410315631.

It can be written as a sum of positive squares in only one way, i.e., 134424889600 + 2088124416 = 366640^2 + 45696^2 .

It is a super-2 number, since 2×1365130140162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136513014013) 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 as a sum of consecutive naturals, namely, 266626725 + ... + 266627236.

Almost surely, 2136513014016 is an apocalyptic number.

136513014016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136513014016 is a deficient number, since it is larger than the sum of its proper divisors (135979760566).

136513014016 is an frugal number, since it uses more digits than its factorization.

136513014016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533253977 (or 533253963 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 136513014016 its reverse (610410315631), we get a palindrome (746923329647).

The spelling of 136513014016 in words is "one hundred thirty-six billion, five hundred thirteen million, fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 533253961 1066507922 2133015844 4266031688 8532063376 17064126752 34128253504 68256507008 136513014016