Search a number
-
+
165115016 = 2311171937157
BaseRepresentation
bin10011101011101…
…11010010001000
3102111200201012222
421311313102020
5314232140031
624214553212
74043311613
oct1165672210
9374621188
10165115016
11852263a0
1247368808
13282919c1
1417d0117a
15e767e7b
hex9d77488

165115016 has 128 divisors (see below), whose sum is σ = 389059200. Its totient is φ = 64696320.

The previous prime is 165115007. The next prime is 165115031. The reversal of 165115016 is 610511561.

165115016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051610 + ... + 1051766.

It is an arithmetic number, because the mean of its divisors is an integer number (3039525).

Almost surely, 2165115016 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 165115016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194529600).

165115016 is an abundant number, since it is smaller than the sum of its proper divisors (223944184).

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

165115016 is a wasteful number, since it uses less digits than its factorization.

165115016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The square root of 165115016 is about 12849.7087904746. The cubic root of 165115016 is about 548.6080681701.

Adding to 165115016 its reverse (610511561), we get a palindrome (775626577).

The spelling of 165115016 in words is "one hundred sixty-five million, one hundred fifteen thousand, sixteen".

Divisors: 1 2 4 8 11 17 19 22 34 37 38 44 68 74 76 88 136 148 152 157 187 209 296 314 323 374 407 418 628 629 646 703 748 814 836 1256 1258 1292 1406 1496 1628 1672 1727 2516 2584 2669 2812 2983 3256 3454 3553 5032 5338 5624 5809 5966 6908 6919 7106 7733 10676 11618 11932 11951 13816 13838 14212 15466 21352 23236 23864 23902 27676 28424 29359 30932 32813 46472 47804 50711 55352 58718 61864 63899 65626 95608 98753 101422 110371 117436 127798 131252 131461 197506 202844 220742 234872 255596 262504 262922 395012 405688 441484 511192 525844 557821 790024 882968 1051688 1086283 1115642 1214081 1876307 2172566 2231284 2428162 3752614 4345132 4462568 4856324 7505228 8690264 9712648 15010456 20639377 41278754 82557508 165115016