Search a number
-
+
132609557584 = 24731163234319
BaseRepresentation
bin111101110000000100…
…1010100010001010000
3110200021210021111122201
41323200021110101100
54133041021320314
6140530415012544
712403121432650
oct1734011242120
9420253244581
10132609557584
115126a702399
122184a80a154
13c674712b4a
1465bdcb8360
1536b1ed0b74
hex1ee0254450

132609557584 has 80 divisors (see below), whose sum is σ = 304968417280. Its totient is φ = 54661703040.

The previous prime is 132609557497. The next prime is 132609557593. The reversal of 132609557584 is 485755906231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448777 + ... + 683095.

It is an arithmetic number, because the mean of its divisors is an integer number (3812105216).

It is a 1-persistent number, because it is pandigital, but 2⋅132609557584 = 265219115168 is not.

Almost surely, 2132609557584 is an apocalyptic number.

132609557584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132609557584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152484208640).

132609557584 is an abundant number, since it is smaller than the sum of its proper divisors (172358859696).

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

132609557584 is a wasteful number, since it uses less digits than its factorization.

132609557584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234528 (or 234522 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 55.

The spelling of 132609557584 in words is "one hundred thirty-two billion, six hundred nine million, five hundred fifty-seven thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 163 217 248 326 434 496 652 868 1141 1304 1736 2282 2608 3472 4564 5053 9128 10106 18256 20212 35371 40424 70742 80848 141484 234319 282968 468638 565936 937276 1640233 1874552 3280466 3749104 6560932 7263889 13121864 14527778 26243728 29055556 38193997 50847223 58111112 76387994 101694446 116222224 152775988 203388892 267357979 305551976 406777784 534715958 611103952 813555568 1069431916 1184013907 2138863832 2368027814 4277727664 4736055628 8288097349 9472111256 16576194698 18944222512 33152389396 66304778792 132609557584