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129687134641 = 37297332
BaseRepresentation
bin111100011000111110…
…1001010000110110001
3110101202010020001000221
41320301331022012301
54111044401302031
6135324421213041
712240524312311
oct1706175120661
9411663201027
10129687134641
1150000008819
1221173b61181
13c2ca120bbc
1463c3b07441
153590662a11
hex1e31f4a1b1

129687134641 has 9 divisors (see below), whose sum is σ = 133300619361. Its totient is φ = 126169112592.

The previous prime is 129687134627. The next prime is 129687134683. The reversal of 129687134641 is 146431786921.

The square root of 129687134641 is 360121.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 76215197041 + 53471937600 = 276071^2 + 231240^2 .

It is not a de Polignac number, because 129687134641 - 219 = 129686610353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129687134441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13319611 + ... + 13329343.

It is an arithmetic number, because the mean of its divisors is an integer number (14811179929).

Almost surely, 2129687134641 is an apocalyptic number.

129687134641 is the 360121-st square number.

129687134641 is the 180061-st centered octagonal number.

It is an amenable number.

129687134641 is a deficient number, since it is larger than the sum of its proper divisors (3613484720).

129687134641 is an frugal number, since it uses more digits than its factorization.

129687134641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19540 (or 9770 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The spelling of 129687134641 in words is "one hundred twenty-nine billion, six hundred eighty-seven million, one hundred thirty-four thousand, six hundred forty-one".

Divisors: 1 37 1369 9733 360121 13324477 94731289 3505057693 129687134641