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2074729536 = 263211232619
BaseRepresentation
bin111101110101001…
…1101110001000000
312100120222011212200
41323222131301000
513222112321121
6541512353200
7102261624105
oct17352356100
95316864780
102074729536
11975149010
1249a9a5800
13270ab0819
1415978caac
15c2224a26
hex7ba9dc40

2074729536 has 252 divisors, whose sum is σ = 6792742320. Its totient is φ = 600399360.

The previous prime is 2074729511. The next prime is 2074729541. The reversal of 2074729536 is 6359274702.

2074729536 is a `hidden beast` number, since 20 + 74 + 7 + 29 + 536 = 666.

2074729536 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2074729491 and 2074729500.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3351435 + ... + 3352053.

Almost surely, 22074729536 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 2074729536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396371160).

2074729536 is an abundant number, since it is smaller than the sum of its proper divisors (4718012784).

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

2074729536 is a wasteful number, since it uses less digits than its factorization.

2074729536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 2074729536 is about 45549.1990708948. The cubic root of 2074729536 is about 1275.4217824848.

The spelling of 2074729536 in words is "two billion, seventy-four million, seven hundred twenty-nine thousand, five hundred thirty-six".