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137764040497 is a prime number
BaseRepresentation
bin1000000001001101100…
…0000110111100110001
3111011121000100100221021
42000103120012330301
54224120043243442
6143142105255441
712644631010636
oct2002330067461
9434530310837
10137764040497
1153475233726
1222848a94581
13ccb657cc35
14694c6b018d
1538b479ee67
hex2013606f31

137764040497 has 2 divisors, whose sum is σ = 137764040498. Its totient is φ = 137764040496.

The previous prime is 137764040389. The next prime is 137764040573. The reversal of 137764040497 is 794040467731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80405706481 + 57358334016 = 283559^2 + 239496^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137764040497 is a prime.

It is not a weakly prime, because it can be changed into another prime (137764040597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68882020248 + 68882020249.

It is an arithmetic number, because the mean of its divisors is an integer number (68882020249).

Almost surely, 2137764040497 is an apocalyptic number.

It is an amenable number.

137764040497 is a deficient number, since it is larger than the sum of its proper divisors (1).

137764040497 is an equidigital number, since it uses as much as digits as its factorization.

137764040497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 137764040497 in words is "one hundred thirty-seven billion, seven hundred sixty-four million, forty thousand, four hundred ninety-seven".