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2026866816 = 273213413301
BaseRepresentation
bin111100011001111…
…1000100010000000
312020020220111120100
41320303320202000
513122334214231
6533042442400
7101141040462
oct17063704200
95206814510
102026866816
11950128047
12486963400
13263bc31a0
14153290132
15bce1d1e6
hex78cf8880

2026866816 has 192 divisors, whose sum is σ = 6436324440. Its totient is φ = 608256000.

The previous prime is 2026866799. The next prime is 2026866823. The reversal of 2026866816 is 6186686202.

It can be written as a sum of positive squares in 4 ways, for example, as 543076416 + 1483790400 = 23304^2 + 38520^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612366 + ... + 615666.

Almost surely, 22026866816 is an apocalyptic number.

2026866816 is a gapful number since it is divisible by the number (26) 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 2026866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218162220).

2026866816 is an abundant number, since it is smaller than the sum of its proper divisors (4409457624).

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

2026866816 is a wasteful number, since it uses less digits than its factorization.

2026866816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2026866816 is about 45020.7376216783. The cubic root of 2026866816 is about 1265.5376522727.

The spelling of 2026866816 in words is "two billion, twenty-six million, eight hundred sixty-six thousand, eight hundred sixteen".