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165495564 = 2232131991777
BaseRepresentation
bin10011101110101…
…00001100001100
3102112102001020100
421313110030030
5314331324224
624231051100
74046455233
oct1167241414
9375361210
10165495564
11854662a3
1247510a90
1328395c90
1417d9db1a
15e7e0ac9
hex9dd430c

165495564 has 72 divisors (see below), whose sum is σ = 453034400. Its totient is φ = 50637312.

The previous prime is 165495553. The next prime is 165495569. The reversal of 165495564 is 465594561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165495569) 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 23 ways as a sum of consecutive naturals, for example, 92244 + ... + 94020.

Almost surely, 2165495564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165495564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226517200).

165495564 is an abundant number, since it is smaller than the sum of its proper divisors (287538836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165495564 is a wasteful number, since it uses less digits than its factorization.

165495564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1994 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 165495564 is about 12864.5079190772. The cubic root of 165495564 is about 549.0292120182.

The spelling of 165495564 in words is "one hundred sixty-five million, four hundred ninety-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 199 234 398 468 597 796 1194 1777 1791 2388 2587 3554 3582 5174 5331 7108 7164 7761 10348 10662 15522 15993 21324 23101 23283 31044 31986 46202 46566 63972 69303 92404 93132 138606 207909 277212 353623 415818 707246 831636 1060869 1414492 2121738 3182607 4243476 4597099 6365214 9194198 12730428 13791297 18388396 27582594 41373891 55165188 82747782 165495564