Search a number
-
+
11431685460411 = 3329371073687763
BaseRepresentation
bin1010011001011010010110…
…0011010001000110111011
31111110212011211000012201000
42212112211203101012323
52444244042434213121
640151351021100043
72256624552101046
oct246264543210673
944425154005630
1011431685460411
113708172467727
1213476543b7623
1364c007382b28
142b7421961c5d
1514c56eb5c526
hexa65a58d11bb

11431685460411 has 64 divisors (see below), whose sum is σ = 18161500147200. Its totient is φ = 7092539895168.

The previous prime is 11431685460407. The next prime is 11431685460427. The reversal of 11431685460411 is 11406458613411.

11431685460411 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 68 + 546 + 0 + 41 + 1 = 666.

11431685460411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11431685460411 - 22 = 11431685460407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11431685460211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1256016 + ... + 4943778.

It is an arithmetic number, because the mean of its divisors is an integer number (283773439800).

Almost surely, 211431685460411 is an apocalyptic number.

11431685460411 is a deficient number, since it is larger than the sum of its proper divisors (6729814686789).

11431685460411 is a wasteful number, since it uses less digits than its factorization.

11431685460411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687945 (or 3687939 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11431685460411 in words is "eleven trillion, four hundred thirty-one billion, six hundred eighty-five million, four hundred sixty thousand, four hundred eleven".

Divisors: 1 3 9 27 29 37 87 107 111 261 321 333 783 963 999 1073 2889 3103 3219 3959 9309 9657 11877 27927 28971 35631 83781 106893 114811 344433 1033299 3099897 3687763 11063289 33189867 99569601 106945127 136447231 320835381 394590641 409341693 962506143 1183771923 1228025079 2887518429 3551315769 3684075237 3956969699 10653947307 11443128589 11870909097 14599853717 34329385767 35612727291 43799561151 102988157301 106838181873 131398683453 308964471903 394196050359 423395757793 1270187273379 3810561820137 11431685460411