Search a number
-
+
16160088240096 = 2531749512000003
BaseRepresentation
bin1110101100101001000001…
…0100011010111111100000
32010012220000100001000101020
43223022100110122333200
54104231330042140341
654211501514405440
73255346023424443
oct353122024327740
963186010030336
1016160088240096
115170500578729
12198bb24a30880
13902b74b0bab8
143dc21c44165a
151d0563498566
hexeb29051afe0

16160088240096 has 96 divisors (see below), whose sum is σ = 44924633849088. Its totient is φ = 5068805068800.

The previous prime is 16160088240083. The next prime is 16160088240151. The reversal of 16160088240096 is 69004288006161.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×161600882400962 (a number of 27 digits) contains 22 as substring.

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

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, 7080031 + ... + 9080033.

It is an arithmetic number, because the mean of its divisors is an integer number (467964935928).

Almost surely, 216160088240096 is an apocalyptic number.

16160088240096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16160088240096 is an abundant number, since it is smaller than the sum of its proper divisors (28764545608992).

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

16160088240096 is a wasteful number, since it uses less digits than its factorization.

16160088240096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004984 (or 2004976 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 16160088240096 in words is "sixteen trillion, one hundred sixty billion, eighty-eight million, two hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 4951 9902 14853 19804 29706 39608 59412 79216 84167 118824 158432 168334 237648 252501 336668 475296 505002 673336 1010004 1346672 2000003 2020008 2693344 4000006 4040016 6000009 8000012 8080032 12000018 16000024 24000036 32000048 34000051 48000072 64000096 68000102 96000144 102000153 136000204 192000288 204000306 272000408 408000612 544000816 816001224 1088001632 1632002448 3264004896 9902014853 19804029706 29706044559 39608059412 59412089118 79216118824 118824178236 158432237648 168334252501 237648356472 316864475296 336668505002 475296712944 505002757503 673337010004 950593425888 1010005515006 1346674020008 2020011030012 2693348040016 4040022060024 5386696080032 8080044120048 16160088240096