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137306434447005 = 3533787127092477
BaseRepresentation
bin11111001110000100100101…
…010000000010011010011101
3200000011100220111110001211020
4133032010211100002122131
5120444112034204301010
61204005412153114353
740631030305614135
oct3716044520023235
9600140814401736
10137306434447005
113a82837174606a
1213496aa70b89b9
135b7cc30aba8b5
1425c9949d15ac5
1510d19c72a9470
hex7ce12540269d

137306434447005 has 16 divisors (see below), whose sum is σ = 219690953443584. Its totient is φ = 73229878928960.

The previous prime is 137306434446959. The next prime is 137306434447069. The reversal of 137306434447005 is 500744434603731.

It is a de Polignac number, because none of the positive numbers 2k-137306434447005 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8478174 + ... + 18614303.

It is an arithmetic number, because the mean of its divisors is an integer number (13730684590224).

Almost surely, 2137306434447005 is an apocalyptic number.

137306434447005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137306434447005 is a deficient number, since it is larger than the sum of its proper divisors (82384518996579).

137306434447005 is a wasteful number, since it uses less digits than its factorization.

137306434447005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27430356.

The product of its (nonzero) digits is 10160640, while the sum is 51.

The spelling of 137306434447005 in words is "one hundred thirty-seven trillion, three hundred six billion, four hundred thirty-four million, four hundred forty-seven thousand, five".

Divisors: 1 3 5 15 337871 1013613 1689355 5068065 27092477 81277431 135462385 406387155 9153762296467 27461286889401 45768811482335 137306434447005