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2096082144 = 253313593163
BaseRepresentation
bin111110011101111…
…1010110011100000
312102002011000011000
41330323322303200
513243044112034
6543554152000
7102641255442
oct17473726340
95362130130
102096082144
119862025a2
124a5b82600
132753487c0
1415c54a492
15c4041599
hex7ceface0

2096082144 has 192 divisors, whose sum is σ = 6697555200. Its totient is φ = 633816576.

The previous prime is 2096082139. The next prime is 2096082151. The reversal of 2096082144 is 4412806902.

2096082144 is a `hidden beast` number, since 2 + 0 + 9 + 608 + 2 + 1 + 44 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2096082099 and 2096082108.

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 31 ways as a sum of consecutive naturals, for example, 661107 + ... + 664269.

It is an arithmetic number, because the mean of its divisors is an integer number (34883100).

Almost surely, 22096082144 is an apocalyptic number.

2096082144 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 2096082144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348777600).

2096082144 is an abundant number, since it is smaller than the sum of its proper divisors (4601473056).

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

2096082144 is a wasteful number, since it uses less digits than its factorization.

2096082144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2096082144 is about 45782.9896795742. The cubic root of 2096082144 is about 1279.7823002157.

The spelling of 2096082144 in words is "two billion, ninety-six million, eighty-two thousand, one hundred forty-four".