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206674149984 = 253233110728219
BaseRepresentation
bin1100000001111010111…
…1010100001001100000
3201202110110212122002120
43000132233110021200
511341232040244414
6234540024144240
720634402201141
oct3003657241140
9652413778076
10206674149984
117a717195935
123407a908080
1316648c76253
14a008659ac8
1555993752a9
hex301ebd4260

206674149984 has 192 divisors, whose sum is σ = 589851279360. Its totient is φ = 63172200960.

The previous prime is 206674149973. The next prime is 206674150003. The reversal of 206674149984 is 489941476602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7309827 + ... + 7338045.

It is an arithmetic number, because the mean of its divisors is an integer number (3072142080).

Almost surely, 2206674149984 is an apocalyptic number.

206674149984 is a gapful number since it is divisible by the number (24) 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 206674149984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294925639680).

206674149984 is an abundant number, since it is smaller than the sum of its proper divisors (383177129376).

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

206674149984 is a wasteful number, since it uses less digits than its factorization.

206674149984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28393 (or 28385 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 206674149984 in words is "two hundred six billion, six hundred seventy-four million, one hundred forty-nine thousand, nine hundred eighty-four".