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85753532511 = 32233891064957
BaseRepresentation
bin100111111011101001…
…1110001000001011111
322012100022101210211200
41033313103301001133
52401110401020021
6103221123450543
76124023666603
oct1176723610137
9265308353750
1085753532511
11334056a7229
1214752826a53
13811812701a
144216d4b503
15236d66e126
hex13f74f105f

85753532511 has 24 divisors (see below), whose sum is σ = 129584089440. Its totient is φ = 54542786496.

The previous prime is 85753532509. The next prime is 85753532533. The reversal of 85753532511 is 11523535758.

85753532511 is a `hidden beast` number, since 8 + 5 + 75 + 35 + 32 + 511 = 666.

It is not a de Polignac number, because 85753532511 - 21 = 85753532509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85753534511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451956 + ... + 613001.

It is an arithmetic number, because the mean of its divisors is an integer number (5399337060).

Almost surely, 285753532511 is an apocalyptic number.

85753532511 is a deficient number, since it is larger than the sum of its proper divisors (43830556929).

85753532511 is a wasteful number, since it uses less digits than its factorization.

85753532511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065375 (or 1065372 counting only the distinct ones).

The product of its digits is 630000, while the sum is 45.

The spelling of 85753532511 in words is "eighty-five billion, seven hundred fifty-three million, five hundred thirty-two thousand, five hundred eleven".

Divisors: 1 3 9 23 69 207 389 1167 3501 8947 26841 80523 1064957 3194871 9584613 24494011 73482033 220446099 414268273 1242804819 3728414457 9528170279 28584510837 85753532511