Search a number
-
+
11532342384 = 243337371569
BaseRepresentation
bin10101011110110000…
…11001010001110000
31002202201010200201000
422233120121101300
5142104234424014
65144202042000
7555532202313
oct125730312160
932681120630
1011532342384
114988785582
12229a1a9300
13111a2c4944
147b588497a
15477695509
hex2af619470

11532342384 has 80 divisors (see below), whose sum is σ = 33191303200. Its totient is φ = 3833754624.

The previous prime is 11532342359. The next prime is 11532342401. The reversal of 11532342384 is 48324323511.

11532342384 is a `hidden beast` number, since 1 + 1 + 532 + 3 + 42 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 125352 + ... + 196920.

It is an arithmetic number, because the mean of its divisors is an integer number (414891290).

Almost surely, 211532342384 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 11532342384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16595651600).

11532342384 is an abundant number, since it is smaller than the sum of its proper divisors (21658960816).

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

11532342384 is a wasteful number, since it uses less digits than its factorization.

11532342384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71959 (or 71947 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 11532342384 its reverse (48324323511), we get a palindrome (59856665895).

The spelling of 11532342384 in words is "eleven billion, five hundred thirty-two million, three hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 373 432 746 1119 1492 2238 2984 3357 4476 5968 6714 8952 10071 13428 17904 20142 26856 40284 53712 71569 80568 143138 161136 214707 286276 429414 572552 644121 858828 1145104 1288242 1717656 1932363 2576484 3435312 3864726 5152968 7729452 10305936 15458904 26695237 30917808 53390474 80085711 106780948 160171422 213561896 240257133 320342844 427123792 480514266 640685688 720771399 961028532 1281371376 1441542798 1922057064 2883085596 3844114128 5766171192 11532342384