Search a number
-
+
1135678149 = 3217311491607
BaseRepresentation
bin100001110110001…
…0001001011000101
32221010222102112200
41003230101023011
54311213200044
6304405305113
740100051004
oct10354211305
92833872480
101135678149
11533073891
12278405199
13151393308
14aab88c3b
1569a82369
hex43b112c5

1135678149 has 48 divisors (see below), whose sum is σ = 1806105600. Its totient is φ = 684541440.

The previous prime is 1135678133. The next prime is 1135678163. The reversal of 1135678149 is 9418765311.

1135678149 is a `hidden beast` number, since 1 + 1 + 3 + 567 + 81 + 4 + 9 = 666.

It is not a de Polignac number, because 1135678149 - 24 = 1135678133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135678129) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 705904 + ... + 707510.

It is an arithmetic number, because the mean of its divisors is an integer number (37627200).

Almost surely, 21135678149 is an apocalyptic number.

It is an amenable number.

1135678149 is a deficient number, since it is larger than the sum of its proper divisors (670427451).

1135678149 is a wasteful number, since it uses less digits than its factorization.

1135678149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1807 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 1135678149 is about 33699.8241686808. The cubic root of 1135678149 is about 1043.3221394569.

The spelling of 1135678149 in words is "one billion, one hundred thirty-five million, six hundred seventy-eight thousand, one hundred forty-nine".

Divisors: 1 3 9 17 31 51 93 149 153 279 447 527 1341 1581 1607 2533 4619 4743 4821 7599 13857 14463 22797 27319 41571 49817 78523 81957 149451 235569 239443 245871 448353 706707 718329 846889 2154987 2540667 4070531 7422733 7622001 12211593 22268199 36634779 66804597 126186461 378559383 1135678149