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203068620526464 = 273271131691106871
BaseRepresentation
bin101110001011000010011000…
…111111011101001110000000
3222122000011121022112020221200
4232023002120333131032000
5203104034013323321324
61555520234133021200
760526136502366540
oct5613023077351600
9878004538466850
10203068620526464
1159781a11332220
121a938086184800
13894039a4c38a4
143820806245320
151872432c55ec9
hexb8b098fdd380

203068620526464 has 768 divisors, whose sum is σ = 753138372280320. Its totient is φ = 50969295360000.

The previous prime is 203068620526451. The next prime is 203068620526469. The reversal of 203068620526464 is 464625026860302.

203068620526464 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 6 + 8 + 620 + 5 + 2 + 6 + 4 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 203068620526464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203068620526469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1900074949 + ... + 1900181819.

It is an arithmetic number, because the mean of its divisors is an integer number (980648922240).

Almost surely, 2203068620526464 is an apocalyptic number.

203068620526464 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 203068620526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376569186140160).

203068620526464 is an abundant number, since it is smaller than the sum of its proper divisors (550069751753856).

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

203068620526464 is a wasteful number, since it uses less digits than its factorization.

203068620526464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107631 (or 107616 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 203068620526464 in words is "two hundred three trillion, sixty-eight billion, six hundred twenty million, five hundred twenty-six thousand, four hundred sixty-four".