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3524136642 = 23213101149113
BaseRepresentation
bin1101001000001110…
…0000111011000010
3100002121021200122100
43102003200323002
524204134333032
61341410251230
7153221444565
oct32203407302
910077250570
103524136642
111549313024
12824286b16
1344216a870
142560824dc
151595c897c
hexd20e0ec2

3524136642 has 48 divisors (see below), whose sum is σ = 8304456888. Its totient is φ = 1073606400.

The previous prime is 3524136557. The next prime is 3524136697. The reversal of 3524136642 is 2466314253.

3524136642 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 1 + 3 + 6 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3370847481 + 153289161 = 58059^2 + 12381^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3524136597 and 3524136606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50923 + ... + 98190.

Almost surely, 23524136642 is an apocalyptic number.

3524136642 is an abundant number, since it is smaller than the sum of its proper divisors (4780320246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3524136642 is a wasteful number, since it uses less digits than its factorization.

3524136642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149235 (or 149232 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3524136642 is about 59364.4392039544. The cubic root of 3524136642 is about 1521.7766393974.

The spelling of 3524136642 in words is "three billion, five hundred twenty-four million, one hundred thirty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 606 909 1313 1818 2626 3939 7878 11817 23634 149113 298226 447339 894678 1342017 1938469 2684034 3876938 5815407 11630814 15060413 17446221 30120826 34892442 45181239 90362478 135543717 195785369 271087434 391570738 587356107 1174712214 1762068321 3524136642