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137733819373 is a prime number
BaseRepresentation
bin1000000001000110010…
…0110100101111101101
3111011111220110222100101
42000101210310233231
54224034324204443
6143135105431101
712644113101463
oct2002144645755
9434456428311
10137733819373
115345a172097
122283a93b491
13ccb022b407
146948684833
1538b1cd084d
hex2011934bed

137733819373 has 2 divisors, whose sum is σ = 137733819374. Its totient is φ = 137733819372.

The previous prime is 137733819359. The next prime is 137733819389. The reversal of 137733819373 is 373918337731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135893237769 + 1840581604 = 368637^2 + 42902^2 .

It is a cyclic number.

It is not a de Polignac number, because 137733819373 - 225 = 137700264941 is a prime.

It is a super-2 number, since 2×1377338193732 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137733819473) 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, 68866909686 + 68866909687.

It is an arithmetic number, because the mean of its divisors is an integer number (68866909687).

Almost surely, 2137733819373 is an apocalyptic number.

It is an amenable number.

137733819373 is a deficient number, since it is larger than the sum of its proper divisors (1).

137733819373 is an equidigital number, since it uses as much as digits as its factorization.

137733819373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6001128, while the sum is 55.

The spelling of 137733819373 in words is "one hundred thirty-seven billion, seven hundred thirty-three million, eight hundred nineteen thousand, three hundred seventy-three".