Search a number
-
+
135746117817 = 31311088931721
BaseRepresentation
bin111111001101100011…
…0010110000010111001
3110222101101021021102020
41332123012112002321
54211002001232232
6142205542225053
712543625651302
oct1763306260271
9428341237366
10135746117817
115262a165532
1222385125189
13ca5449bb4b
1467da6ab7a9
1537e754be2c
hex1f9b1960b9

135746117817 has 16 divisors (see below), whose sum is σ = 182398962240. Its totient is φ = 89795513600.

The previous prime is 135746117791. The next prime is 135746117839. The reversal of 135746117817 is 718711647531.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135746117817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135746117817.

It is not an unprimeable number, because it can be changed into a prime (135746117317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4263517 + ... + 4295237.

It is an arithmetic number, because the mean of its divisors is an integer number (11399935140).

Almost surely, 2135746117817 is an apocalyptic number.

It is an amenable number.

135746117817 is a deficient number, since it is larger than the sum of its proper divisors (46652844423).

135746117817 is a wasteful number, since it uses less digits than its factorization.

135746117817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42744.

The product of its digits is 987840, while the sum is 51.

The spelling of 135746117817 in words is "one hundred thirty-five billion, seven hundred forty-six million, one hundred seventeen thousand, eight hundred seventeen".

Divisors: 1 3 131 393 10889 31721 32667 95163 1426459 4155451 4279377 12466353 345409969 1036229907 45248705939 135746117817