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137648747349 = 3215294305261
BaseRepresentation
bin1000000000110010000…
…0010011001101010101
3111011021222101212110200
42000030200103031111
54223401034403344
6143122430211113
712642031022211
oct2001440231525
9434258355420
10137648747349
1153416147233
1222816353a99
13cc98713539
14693b25b941
1538a95c9069
hex200c813355

137648747349 has 6 divisors (see below), whose sum is σ = 198825968406. Its totient is φ = 91765831560.

The previous prime is 137648747303. The next prime is 137648747359. The reversal of 137648747349 is 943747846731.

137648747349 is a `hidden beast` number, since 1 + 3 + 76 + 487 + 47 + 3 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134793982449 + 2854764900 = 367143^2 + 53430^2 .

It is not a de Polignac number, because 137648747349 - 217 = 137648616277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137648747359) 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 5 ways as a sum of consecutive naturals, for example, 7647152622 + ... + 7647152639.

It is an arithmetic number, because the mean of its divisors is an integer number (33137661401).

Almost surely, 2137648747349 is an apocalyptic number.

It is an amenable number.

137648747349 is a deficient number, since it is larger than the sum of its proper divisors (61177221057).

137648747349 is a wasteful number, since it uses less digits than its factorization.

137648747349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15294305267 (or 15294305264 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 137648747349 in words is "one hundred thirty-seven billion, six hundred forty-eight million, seven hundred forty-seven thousand, three hundred forty-nine".

Divisors: 1 3 9 15294305261 45882915783 137648747349