Search a number
-
+
135453500012511 = 32291536133785491
BaseRepresentation
bin11110110011000110111001…
…110000000111011111011111
3122202121020011022102000100200
4132303012321300013133133
5120223232232000400021
61200030251233354543
740350123001031532
oct3663067160073737
9582536138360320
10135453500012511
113a18356354535a
1213237967108a53
135a77296b99705
142563dad1daa19
15109d6ca469126
hex7b31b9c077df

135453500012511 has 24 divisors (see below), whose sum is σ = 202414963960560. Its totient is φ = 87182781235200.

The previous prime is 135453500012507. The next prime is 135453500012561. The reversal of 135453500012511 is 115210005354531.

135453500012511 is a `hidden beast` number, since 1 + 3 + 54 + 5 + 350 + 0 + 0 + 1 + 251 + 1 = 666.

It is not a de Polignac number, because 135453500012511 - 22 = 135453500012507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135453500012561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12883525 + ... + 20901966.

It is an arithmetic number, because the mean of its divisors is an integer number (8433956831690).

Almost surely, 2135453500012511 is an apocalyptic number.

135453500012511 is a deficient number, since it is larger than the sum of its proper divisors (66961463948049).

135453500012511 is a wasteful number, since it uses less digits than its factorization.

135453500012511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33800887 (or 33800884 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 135453500012511 in words is "one hundred thirty-five trillion, four hundred fifty-three billion, five hundred million, twelve thousand, five hundred eleven".

Divisors: 1 3 9 29 87 261 15361 46083 138249 445469 1336407 4009221 33785491 101356473 304069419 979779239 2939337717 8818013151 518978927251 1556936781753 4670810345259 15050388890279 45151166670837 135453500012511