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18143281152 = 2153320507
BaseRepresentation
bin10000111001011011…
…001000000000000000
31201211102210011211000
4100321123020000000
5244124134444102
612200201252000
71211415226263
oct207133100000
951742704730
1018143281152
117770455737
123624194000
131931b19229
14c41886cda
15712c5c01c
hex4396c8000

18143281152 has 128 divisors (see below), whose sum is σ = 53759671200. Its totient is φ = 6047465472.

The previous prime is 18143281151. The next prime is 18143281157. The reversal of 18143281152 is 25118234181.

It is a happy number.

18143281152 is a `hidden beast` number, since 181 + 4 + 328 + 1 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (18143281151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874483 + ... + 894989.

Almost surely, 218143281152 is an apocalyptic number.

18143281152 is a gapful number since it is divisible by the number (12) 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 18143281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26879835600).

18143281152 is an abundant number, since it is smaller than the sum of its proper divisors (35616390048).

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

18143281152 is an frugal number, since it uses more digits than its factorization.

18143281152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20546 (or 20512 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The spelling of 18143281152 in words is "eighteen billion, one hundred forty-three million, two hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 16384 18432 20507 24576 27648 32768 36864 41014 49152 55296 61521 73728 82028 98304 110592 123042 147456 164056 184563 221184 246084 294912 328112 369126 442368 492168 553689 656224 738252 884736 984336 1107378 1312448 1476504 1968672 2214756 2624896 2953008 3937344 4429512 5249792 5906016 7874688 8859024 10499584 11812032 15749376 17718048 20999168 23624064 31498752 35436096 41998336 47248128 62997504 70872192 83996672 94496256 125995008 141744384 167993344 188992512 251990016 283488768 335986688 377985024 503980032 566977536 671973376 755970048 1007960064 1133955072 1511940096 2015920128 2267910144 3023880192 4535820288 6047760384 9071640576 18143281152