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133532218368 = 2103214489173
BaseRepresentation
bin111110001011100100…
…0111111010000000000
3110202200002102112022100
41330113020333100000
54141433221441433
6141202134510400
712435024062043
oct1742710772000
9422602375270
10133532218368
11516a350206a
1221a67805400
13c790911a83
14666a652c5a
153717ed6b13
hex1f1723f400

133532218368 has 66 divisors (see below), whose sum is σ = 385571409314. Its totient is φ = 44510736384.

The previous prime is 133532218357. The next prime is 133532218373. The reversal of 133532218368 is 863812235331.

133532218368 is a `hidden beast` number, since 1 + 33 + 532 + 2 + 1 + 83 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131890996224 + 1641222144 = 363168^2 + 40512^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7235371 + ... + 7253802.

Almost surely, 2133532218368 is an apocalyptic number.

133532218368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133532218368 is an abundant number, since it is smaller than the sum of its proper divisors (252039190946).

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

133532218368 is a wasteful number, since it uses less digits than its factorization.

133532218368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14489199 (or 14489178 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 133532218368 in words is "one hundred thirty-three billion, five hundred thirty-two million, two hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 14489173 28978346 43467519 57956692 86935038 115913384 130402557 173870076 231826768 260805114 347740152 463653536 521610228 695480304 927307072 1043220456 1390960608 1854614144 2086440912 2781921216 3709228288 4172881824 5563842432 7418456576 8345763648 11127684864 14836913152 16691527296 22255369728 33383054592 44510739456 66766109184 133532218368