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242932853184 = 2637180753611
BaseRepresentation
bin1110001000111111101…
…1010010100111000000
3212020001102000121012220
43202033323102213000
512440011302300214
6303333554051040
723360050116120
oct3421773224700
9766042017186
10242932853184
119403329824a
123b0b9879a80
1319ba6ba6008
14ba87db6c80
1564bc6899a9
hex388fed29c0

242932853184 has 56 divisors (see below), whose sum is σ = 734582679168. Its totient is φ = 69409386240.

The previous prime is 242932853183. The next prime is 242932853201. The reversal of 242932853184 is 481358239242.

242932853184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2429328531842 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242932853183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90375462 + ... + 90378149.

Almost surely, 2242932853184 is an apocalyptic number.

242932853184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242932853184 is an abundant number, since it is smaller than the sum of its proper divisors (491649825984).

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

242932853184 is a wasteful number, since it uses less digits than its factorization.

242932853184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180753633 (or 180753623 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The spelling of 242932853184 in words is "two hundred forty-two billion, nine hundred thirty-two million, eight hundred fifty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 180753611 361507222 542260833 723014444 1084521666 1265275277 1446028888 2169043332 2530550554 2892057776 3795825831 4338086664 5061101108 5784115552 7591651662 8676173328 10122202216 11568231104 15183303324 17352346656 20244404432 30366606648 34704693312 40488808864 60733213296 80977617728 121466426592 242932853184