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135690124689 = 32712641170383
BaseRepresentation
bin111111001011111000…
…0101111110110010001
3110222020110220112021200
41332113300233312101
54210343132442224
6142200222141413
712542346013110
oct1762760576621
9428213815250
10135690124689
11526005a1019
122236a421869
13ca459c5912
1467d3093c77
1537e268b5c9
hex1f97c2fd91

135690124689 has 24 divisors (see below), whose sum is σ = 224015430912. Its totient is φ = 77530625280.

The previous prime is 135690124673. The next prime is 135690124721. The reversal of 135690124689 is 986421096531.

135690124689 is a `hidden beast` number, since 1 + 3 + 569 + 0 + 12 + 4 + 68 + 9 = 666.

It is not a de Polignac number, because 135690124689 - 24 = 135690124673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135690124489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711192 + ... + 881574.

It is an arithmetic number, because the mean of its divisors is an integer number (9333976288).

Almost surely, 2135690124689 is an apocalyptic number.

It is an amenable number.

135690124689 is a deficient number, since it is larger than the sum of its proper divisors (88325306223).

135690124689 is a wasteful number, since it uses less digits than its factorization.

135690124689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183037 (or 183034 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 135690124689 in words is "one hundred thirty-five billion, six hundred ninety million, one hundred twenty-four thousand, six hundred eighty-nine".

Divisors: 1 3 7 9 21 63 12641 37923 88487 113769 170383 265461 511149 796383 1192681 1533447 3578043 10734129 2153811503 6461434509 15076680521 19384303527 45230041563 135690124689