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18035734131 = 335937929873
BaseRepresentation
bin10000110011000000…
…110111011001110011
31201112221102020001000
4100303000313121303
5243414121443011
612141400213043
71205641132152
oct206300673163
951487366030
1018035734131
117715779aa8
1235b416a183
13191576253c
14c3148d599
157085b6356
hex433037673

18035734131 has 32 divisors (see below), whose sum is σ = 27245088000. Its totient is φ = 11788447104.

The previous prime is 18035734127. The next prime is 18035734133. The reversal of 18035734131 is 13143753081.

18035734131 is a `hidden beast` number, since 1 + 80 + 3 + 573 + 4 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 18035734131 - 22 = 18035734127 is a prime.

It is a super-2 number, since 2×180357341312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18035734133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588811 + ... + 618683.

It is an arithmetic number, because the mean of its divisors is an integer number (851409000).

Almost surely, 218035734131 is an apocalyptic number.

18035734131 is a deficient number, since it is larger than the sum of its proper divisors (9209353869).

18035734131 is a wasteful number, since it uses less digits than its factorization.

18035734131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30320 (or 30314 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 18035734131 in words is "eighteen billion, thirty-five million, seven hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 27 59 177 379 531 1137 1593 3411 10233 22361 29873 67083 89619 201249 268857 603747 806571 1762507 5287521 11321867 15862563 33965601 47587689 101896803 305690409 667990153 2003970459 6011911377 18035734131