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135071657055 = 3357114091983
BaseRepresentation
bin111110111001011100…
…1011110110001011111
3110220122101011010012000
41331302321132301133
54203111321011210
6142015010213343
712521126066346
oct1756271366137
9426571133160
10135071657055
115231347a145
1222217284253
13c97783223a
146774ca0b5d
1537a8221ac0
hex1f72e5ec5f

135071657055 has 32 divisors (see below), whose sum is σ = 243509483520. Its totient is φ = 71023589280.

The previous prime is 135071657003. The next prime is 135071657057. The reversal of 135071657055 is 550756170531.

135071657055 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 71 + 6 + 570 + 5 + 5 = 666.

It is not a de Polignac number, because 135071657055 - 213 = 135071648863 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 135071657055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135071657057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7036407 + ... + 7055576.

It is an arithmetic number, because the mean of its divisors is an integer number (7609671360).

Almost surely, 2135071657055 is an apocalyptic number.

135071657055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135071657055 is a deficient number, since it is larger than the sum of its proper divisors (108437826465).

135071657055 is a wasteful number, since it uses less digits than its factorization.

135071657055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14092068 (or 14092062 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The spelling of 135071657055 in words is "one hundred thirty-five billion, seventy-one million, six hundred fifty-seven thousand, fifty-five".

Divisors: 1 3 5 9 15 27 45 71 135 213 355 639 1065 1917 3195 9585 14091983 42275949 70459915 126827847 211379745 380483541 634139235 1000530793 1902417705 3001592379 5002653965 9004777137 15007961895 27014331411 45023885685 135071657055