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2081196768 = 253719223373
BaseRepresentation
bin111110000001100…
…1000101011100000
312101001010202020210
41330003020223200
513230241244033
6542303134120
7102400611030
oct17403105340
95331122223
102081196768
11978865a32
124a0ba4340
132722363a1
1415a5938c0
15c2aa0d63
hex7c0c8ae0

2081196768 has 288 divisors, whose sum is σ = 6894429696. Its totient is φ = 537394176.

The previous prime is 2081196751. The next prime is 2081196773. The reversal of 2081196768 is 8676911802.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5579430 + ... + 5579802.

It is an arithmetic number, because the mean of its divisors is an integer number (23938992).

Almost surely, 22081196768 is an apocalyptic number.

2081196768 is a gapful number since it is divisible by the number (28) 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 2081196768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447214848).

2081196768 is an abundant number, since it is smaller than the sum of its proper divisors (4813232928).

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

2081196768 is a wasteful number, since it uses less digits than its factorization.

2081196768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 2081196768 is about 45620.1355543799. The cubic root of 2081196768 is about 1276.7456326057.

The spelling of 2081196768 in words is "two billion, eighty-one million, one hundred ninety-six thousand, seven hundred sixty-eight".