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1085136471 = 32294157611
BaseRepresentation
bin100000010101101…
…1101111001010111
32210121212122101200
41000223131321113
54210243331341
6255402123543
735614336116
oct10053357127
92717778350
101085136471
11507593101
122634b05b3
13143a784b3
14a418dc7d
15653ebdb6
hex40adde57

1085136471 has 12 divisors (see below), whose sum is σ = 1621468680. Its totient is φ = 698478480.

The previous prime is 1085136467. The next prime is 1085136491. The reversal of 1085136471 is 1746315801.

1085136471 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 1 + 3 + 647 + 1 = 666.

It is not a de Polignac number, because 1085136471 - 22 = 1085136467 is a prime.

It is a super-3 number, since 3×10851364713 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085136461) 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 11 ways as a sum of consecutive naturals, for example, 2078545 + ... + 2079066.

It is an arithmetic number, because the mean of its divisors is an integer number (135122390).

Almost surely, 21085136471 is an apocalyptic number.

1085136471 is a deficient number, since it is larger than the sum of its proper divisors (536332209).

1085136471 is a wasteful number, since it uses less digits than its factorization.

1085136471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157646 (or 4157643 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1085136471 is about 32941.4096692901. The cubic root of 1085136471 is about 1027.6095224864.

The spelling of 1085136471 in words is "one billion, eighty-five million, one hundred thirty-six thousand, four hundred seventy-one".

Divisors: 1 3 9 29 87 261 4157611 12472833 37418499 120570719 361712157 1085136471