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206874800000 = 27551147017
BaseRepresentation
bin1100000010101010110…
…0101110111110000000
3201202222110102201011122
43000222230232332000
511342134422100000
6235011552531412
720642356533461
oct3005254567600
9652873381148
10206874800000
117a80a4821a0
1234115b50b68
131667b6ca37b
14a02716ad68
1555abcac085
hex302ab2ef80

206874800000 has 192 divisors, whose sum is σ = 561976062480. Its totient is φ = 75225600000.

The previous prime is 206874799949. The next prime is 206874800039. The reversal of 206874800000 is 8478602.

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 23 ways as a sum of consecutive naturals, for example, 4376492 + ... + 4423508.

Almost surely, 2206874800000 is an apocalyptic number.

206874800000 is a gapful number since it is divisible by the number (20) 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 206874800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280988031240).

206874800000 is an abundant number, since it is smaller than the sum of its proper divisors (355101262480).

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

206874800000 is an frugal number, since it uses more digits than its factorization.

206874800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47067 (or 47035 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 206874800000 in words is "two hundred six billion, eight hundred seventy-four million, eight hundred thousand".