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2074535712 = 253841241
BaseRepresentation
bin111101110100110…
…1110011100100000
312100120121100000000
41323221232130200
513222040120322
6541504300000
7102260156034
oct17351563440
95316540000
102074535712
11975026427
1249a911600
13270a43532
1415973c1c4
15c21d73ac
hex7ba6e720

2074535712 has 216 divisors, whose sum is σ = 6301507212. Its totient is φ = 671846400.

The previous prime is 2074535693. The next prime is 2074535713. The reversal of 2074535712 is 2175354702.

It can be written as a sum of positive squares in 2 ways, for example, as 2028241296 + 46294416 = 45036^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074535713) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 8607912 + ... + 8608152.

Almost surely, 22074535712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074535712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150753606).

2074535712 is an abundant number, since it is smaller than the sum of its proper divisors (4226971500).

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

2074535712 is an frugal number, since it uses more digits than its factorization.

2074535712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2074535712 is about 45547.0713877413. The cubic root of 2074535712 is about 1275.3820640467.

The spelling of 2074535712 in words is "two billion, seventy-four million, five hundred thirty-five thousand, seven hundred twelve".