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2052050616 = 2332721131923
BaseRepresentation
bin111101001001111…
…1100111010111000
312022000021222020200
41322103330322320
513200311104431
6535342322200
7101565066600
oct17223747270
95260258220
102052050616
11963369000
12493289360
1326919cc45
14156767c00
15c0244ee6
hex7a4fceb8

2052050616 has 576 divisors, whose sum is σ = 7810732800. Its totient is φ = 482993280.

The previous prime is 2052050587. The next prime is 2052050657. The reversal of 2052050616 is 6160502502.

2052050616 is a `hidden beast` number, since 20 + 5 + 20 + 5 + 0 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2052050616.

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 143 ways as a sum of consecutive naturals, for example, 89219581 + ... + 89219603.

It is an arithmetic number, because the mean of its divisors is an integer number (13560300).

Almost surely, 22052050616 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 2052050616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905366400).

2052050616 is an abundant number, since it is smaller than the sum of its proper divisors (5758682184).

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

2052050616 is a wasteful number, since it uses less digits than its factorization.

2052050616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2052050616 is about 45299.5652959275. The cubic root of 2052050616 is about 1270.7575235554.

The spelling of 2052050616 in words is "two billion, fifty-two million, fifty thousand, six hundred sixteen".