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206551528920 = 23325111512231549
BaseRepresentation
bin1100000001011101101…
…1100011010111011000
3201202010221010211121200
43000113123203113120
511341004142411140
6234515524034200
720631353012262
oct3002733432730
9652127124550
10206551528920
117a663a53910
1234045832960
13166297422c9
149dd625ab32
15558d703030
hex30176e35d8

206551528920 has 384 divisors, whose sum is σ = 740952576000. Its totient is φ = 49486464000.

The previous prime is 206551528903. The next prime is 206551528921. The reversal of 206551528920 is 29825155602.

206551528920 is a `hidden beast` number, since 2 + 0 + 6 + 551 + 5 + 2 + 8 + 92 + 0 = 666.

206551528920 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206551528921) 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 95 ways as a sum of consecutive naturals, for example, 133344306 + ... + 133345854.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564000).

Almost surely, 2206551528920 is an apocalyptic number.

206551528920 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 206551528920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370476288000).

206551528920 is an abundant number, since it is smaller than the sum of its proper divisors (534401047080).

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

206551528920 is a wasteful number, since it uses less digits than its factorization.

206551528920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 206551528920 in words is "two hundred six billion, five hundred fifty-one million, five hundred twenty-eight thousand, nine hundred twenty".