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2126310816 = 253753227263
BaseRepresentation
bin111111010111100…
…1110110110100000
312111012000210002110
41332233032312200
513323313421231
6550554115320
7103456225620
oct17657166640
95435023073
102126310816
119a1279873
124b411bb40
1327b6a08a6
14162578880
15c6a13046
hex7ebceda0

2126310816 has 192 divisors, whose sum is σ = 6552741888. Its totient is φ = 591172608.

The previous prime is 2126310803. The next prime is 2126310839. The reversal of 2126310816 is 6180136212.

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 31 ways as a sum of consecutive naturals, for example, 8084701 + ... + 8084963.

It is an arithmetic number, because the mean of its divisors is an integer number (34128864).

Almost surely, 22126310816 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 2126310816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276370944).

2126310816 is an abundant number, since it is smaller than the sum of its proper divisors (4426431072).

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

2126310816 is a wasteful number, since it uses less digits than its factorization.

2126310816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2126310816 is about 46111.9378903121. The cubic root of 2126310816 is about 1285.9050921335.

The spelling of 2126310816 in words is "two billion, one hundred twenty-six million, three hundred ten thousand, eight hundred sixteen".