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206945739000 = 2333537111321931
BaseRepresentation
bin1100000010111011101…
…1010110000011111000
3201210011101220210012000
43000232323112003320
511342311102122000
6235023005221000
720644210520640
oct3005673260370
9653141823160
10206945739000
117a846524770
1234135861760
1316690307400
14a032755520
1555b3121000
hex302eed60f8

206945739000 has 3072 divisors, whose sum is σ = 1052393472000. Its totient is φ = 36391680000.

The previous prime is 206945738959. The next prime is 206945739037. The reversal of 206945739000 is 937549602.

It is a happy number.

206945739000 is a `hidden beast` number, since 206 + 9 + 4 + 57 + 390 + 0 + 0 = 666.

206945739000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2069457390002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 6675668985 + ... + 6675669015.

It is an arithmetic number, because the mean of its divisors is an integer number (342576000).

Almost surely, 2206945739000 is an apocalyptic number.

206945739000 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 206945739000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526196736000).

206945739000 is an abundant number, since it is smaller than the sum of its proper divisors (845447733000).

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

206945739000 is a wasteful number, since it uses less digits than its factorization.

206945739000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 206945739000 in words is "two hundred six billion, nine hundred forty-five million, seven hundred thirty-nine thousand".