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206400644440 = 23517053302587
BaseRepresentation
bin1100000000111001101…
…1111110010101011000
3201201202102020010000121
43000032123332111120
511340202031110230
6234452534043024
720624541346654
oct3001633762530
9651672203017
10206400644440
117a5968680a1
12340031a9474
13166043c3953
149dc01c1a64
15558034b77a
hex300e6fe558

206400644440 has 32 divisors (see below), whose sum is σ = 464430217680. Its totient is φ = 82555143552.

The previous prime is 206400644423. The next prime is 206400644543. The reversal of 206400644440 is 44446004602.

206400644440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 206400644396 and 206400644405.

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 7 ways as a sum of consecutive naturals, for example, 530827 + ... + 833413.

Almost surely, 2206400644440 is an apocalyptic number.

206400644440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206400644440 is an abundant number, since it is smaller than the sum of its proper divisors (258029573240).

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

206400644440 is a wasteful number, since it uses less digits than its factorization.

206400644440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319651 (or 319647 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The spelling of 206400644440 in words is "two hundred six billion, four hundred million, six hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 17053 34106 68212 85265 136424 170530 302587 341060 605174 682120 1210348 1512935 2420696 3025870 6051740 12103480 5160016111 10320032222 20640064444 25800080555 41280128888 51600161110 103200322220 206400644440