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135435136671 = 3348677103049
BaseRepresentation
bin111111000100010010…
…0000010111010011111
3110221120201002210111000
41332020210002322133
54204332343333141
6142115033001343
712533131444602
oct1761044027237
9427521083430
10135435136671
115248a67081a
12222b8b53253
13ca04c27a33
1467ab27a339
1537ca0be5b6
hex1f88902e9f

135435136671 has 16 divisors (see below), whose sum is σ = 200650716000. Its totient is φ = 90287360064.

The previous prime is 135435136649. The next prime is 135435136693. The reversal of 135435136671 is 176631534531.

135435136671 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 3 + 513 + 66 + 71 = 666.

It is an interprime number because it is at equal distance from previous prime (135435136649) and next prime (135435136693).

It is not a de Polignac number, because 135435136671 - 218 = 135434874527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135435136171) 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 15 ways as a sum of consecutive naturals, for example, 1262755 + ... + 1365803.

It is an arithmetic number, because the mean of its divisors is an integer number (12540669750).

Almost surely, 2135435136671 is an apocalyptic number.

135435136671 is a deficient number, since it is larger than the sum of its proper divisors (65215579329).

135435136671 is a wasteful number, since it uses less digits than its factorization.

135435136671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151735 (or 151729 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 135435136671 in words is "one hundred thirty-five billion, four hundred thirty-five million, one hundred thirty-six thousand, six hundred seventy-one".

Divisors: 1 3 9 27 48677 103049 146031 309147 438093 927441 1314279 2782323 5016116173 15048348519 45145045557 135435136671