Search a number
-
+
135752757040471 = 10114835209173993
BaseRepresentation
bin11110110111011101100110…
…110111000101010101010111
3122210122211121001022011001211
4132313131212313011111113
5120243133121300243341
61200415542230202251
740410545604556024
oct3667354667052527
9583584531264054
10135752757040471
113a28946a31177a
12132859637b3387
135a99578ac169c
14257467b7ba54b
1510a63927b8181
hex7b7766dc5557

135752757040471 has 16 divisors (see below), whose sum is σ = 137216414956320. Its totient is φ = 134291479795200.

The previous prime is 135752757040427. The next prime is 135752757040529. The reversal of 135752757040471 is 174040757257531.

It is a cyclic number.

It is not a de Polignac number, because 135752757040471 - 29 = 135752757039959 is a prime.

It is a super-3 number, since 3×1357527570404713 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135752757040871) 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, 780132651 + ... + 780306643.

It is an arithmetic number, because the mean of its divisors is an integer number (8576025934770).

Almost surely, 2135752757040471 is an apocalyptic number.

135752757040471 is a deficient number, since it is larger than the sum of its proper divisors (1463657915849).

135752757040471 is a wasteful number, since it uses less digits than its factorization.

135752757040471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180786.

The product of its (nonzero) digits is 28812000, while the sum is 58.

The spelling of 135752757040471 in words is "one hundred thirty-five trillion, seven hundred fifty-two billion, seven hundred fifty-seven million, forty thousand, four hundred seventy-one".

Divisors: 1 101 1483 5209 149783 173993 526109 7724947 17573293 258031619 780219647 906329537 26061193519 91539283237 1344086703371 135752757040471