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165563388042 = 231321744921391
BaseRepresentation
bin1001101000110001011…
…0001101000010001010
3120211100101201112122220
42122030112031002022
510203033211404132
6204020405554510
714650546402263
oct2321426150212
9524311645586
10165563388042
1164240241a18
1228106a15a36
13127c6a45700
14802874b96a
1544900cda2c
hex268c58d08a

165563388042 has 96 divisors (see below), whose sum is σ = 380512339200. Its totient is φ = 47836938240.

The previous prime is 165563388037. The next prime is 165563388049. The reversal of 165563388042 is 240883365561.

It is a super-2 number, since 2×1655633880422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (165563388049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7729167 + ... + 7750557.

It is an arithmetic number, because the mean of its divisors is an integer number (3963670200).

Almost surely, 2165563388042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165563388042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190256169600).

165563388042 is an abundant number, since it is smaller than the sum of its proper divisors (214948951158).

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

165563388042 is a wasteful number, since it uses less digits than its factorization.

165563388042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21888 (or 21875 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 165563388042 in words is "one hundred sixty-five billion, five hundred sixty-three million, three hundred eighty-eight thousand, forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 449 507 663 898 1014 1326 1347 2694 2873 5746 5837 7633 8619 11674 15266 17238 17511 21391 22899 35022 42782 45798 64173 75881 99229 128346 151762 198458 227643 278083 297687 363647 455286 556166 595374 727294 834249 1090941 1289977 1668498 2181882 2579954 3615079 3869931 4727411 7230158 7739862 9454822 9604559 10845237 14182233 19209118 21690474 28364466 28813677 57627354 61456343 122912686 124859267 163277503 184369029 249718534 326555006 368738058 374577801 489832509 749155602 979665018 1623170471 2122607539 3246340942 4245215078 4869511413 6367822617 9739022826 12735645234 27593898007 55187796014 82781694021 165563388042