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2096397072 = 24337111931107
BaseRepresentation
bin111110011110100…
…0111101100010000
312102002202000011000
41330331013230100
513243134201242
6544005022000
7102644036550
oct17475075420
95362660130
102096397072
119863a8170
124a60b4900
13275428c53
1415c5cd160
15c40a4a4c
hex7cf47b10

2096397072 has 640 divisors, whose sum is σ = 8228044800. Its totient is φ = 494553600.

The previous prime is 2096397067. The next prime is 2096397101. The reversal of 2096397072 is 2707936902.

It is a happy number.

2096397072 is a `hidden beast` number, since 2 + 0 + 9 + 639 + 7 + 0 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19592443 + ... + 19592549.

It is an arithmetic number, because the mean of its divisors is an integer number (12856320).

Almost surely, 22096397072 is an apocalyptic number.

2096397072 is a gapful number since it is divisible by the number (22) 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 2096397072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114022400).

2096397072 is an abundant number, since it is smaller than the sum of its proper divisors (6131647728).

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

2096397072 is a wasteful number, since it uses less digits than its factorization.

2096397072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 2096397072 is about 45786.4289063910. The cubic root of 2096397072 is about 1279.8463910718.

The spelling of 2096397072 in words is "two billion, ninety-six million, three hundred ninety-seven thousand, seventy-two".