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2096173440 = 273251721407
BaseRepresentation
bin111110011110001…
…0001000110000000
312102002022122101100
41330330101012000
513243110022230
6544000134400
7102642115554
oct17474210600
95362278340
102096173440
11986265149
124a6007400
1327537b21a
1415c571864
15c405d660
hex7cf11180

2096173440 has 192 divisors, whose sum is σ = 7664492160. Its totient is φ = 526073856.

The previous prime is 2096173427. The next prime is 2096173451. The reversal of 2096173440 is 443716902.

2096173440 is a `hidden beast` number, since 2 + 0 + 9 + 617 + 34 + 4 + 0 = 666.

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

It is a super-2 number, since 2×20961734402 = 8787886181122867200, which contains 22 as substring.

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 = 2096173395 and 2096173404.

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 23 ways as a sum of consecutive naturals, for example, 87217 + ... + 108623.

It is an arithmetic number, because the mean of its divisors is an integer number (39919230).

Almost surely, 22096173440 is an apocalyptic number.

2096173440 is a gapful number since it is divisible by the number (20) 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 2096173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832246080).

2096173440 is an abundant number, since it is smaller than the sum of its proper divisors (5568318720).

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

2096173440 is a wasteful number, since it uses less digits than its factorization.

2096173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21449 (or 21434 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2096173440 is about 45783.9867202497. The cubic root of 2096173440 is about 1279.8008804845.

The spelling of 2096173440 in words is "two billion, ninety-six million, one hundred seventy-three thousand, four hundred forty".