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12004464100 = 2252196318139
BaseRepresentation
bin10110010111000010…
…11001010111100100
31010222121111221221111
423023201121113210
5144041120322400
65303105154404
7603324155416
oct131341312744
933877457844
1012004464100
115100230612
1223b032ba04
1311940686c5
1481c4609b6
154a3d533ba
hex2cb8595e4

12004464100 has 36 divisors (see below), whose sum is σ = 27420727600. Its totient is φ = 4549059360.

The previous prime is 12004464061. The next prime is 12004464113. The reversal of 12004464100 is 146440021.

12004464100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 3157170 + ... + 3160969.

Almost surely, 212004464100 is an apocalyptic number.

12004464100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12004464100 is an abundant number, since it is smaller than the sum of its proper divisors (15416263500).

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

12004464100 is a wasteful number, since it uses less digits than its factorization.

12004464100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318172 (or 6318165 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The spelling of 12004464100 in words is "twelve billion, four million, four hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 6318139 12636278 25272556 31590695 63181390 120044641 126362780 157953475 240089282 315906950 480178564 600223205 631813900 1200446410 2400892820 3001116025 6002232050 12004464100