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13713974137 = 1753137241461
BaseRepresentation
bin11001100010110101…
…01010001101111001
31022101202021001212001
430301122222031321
5211041234133022
610144454021001
7663562566613
oct146132521571
938352231761
1013713974137
1158a81a9826
1227a8947761
1313a72947c6
149414dddb3
15553e84b27
hex3316aa379

13713974137 has 32 divisors (see below), whose sum is σ = 14996941344. Its totient is φ = 12491980800.

The previous prime is 13713974083. The next prime is 13713974149. The reversal of 13713974137 is 73147931731.

It can be written as a sum of positive squares in 16 ways, for example, as 29419776 + 13684554361 = 5424^2 + 116981^2 .

It is not a de Polignac number, because 13713974137 - 27 = 13713974009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13713974167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29748087 + ... + 29748547.

It is an arithmetic number, because the mean of its divisors is an integer number (468654417).

Almost surely, 213713974137 is an apocalyptic number.

13713974137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13713974137 is a deficient number, since it is larger than the sum of its proper divisors (1282967207).

13713974137 is a wasteful number, since it uses less digits than its factorization.

13713974137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909.

The product of its digits is 333396, while the sum is 46.

The spelling of 13713974137 in words is "thirteen billion, seven hundred thirteen million, nine hundred seventy-four thousand, one hundred thirty-seven".

Divisors: 1 17 53 137 241 461 901 2329 4097 7261 7837 12773 24433 33017 63157 111101 123437 217141 415361 561289 1073669 1749901 1888717 3347321 5888353 15220837 29748317 56904457 100102001 258754229 806704361 13713974137