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2012778496 = 2127012
BaseRepresentation
bin111011111111000…
…1001000000000000
312012021101202000201
41313332021000000
513110232402441
6531420454544
7100610222611
oct16776110000
95167352021
102012778496
11943185303
124820aa454
13260ccc7c1
14151463c08
15bba88c31
hex77f89000

2012778496 has 39 divisors (see below), whose sum is σ = 4030815673. Its totient is φ = 1004953600.

The previous prime is 2012778491. The next prime is 2012778539. The reversal of 2012778496 is 6948772102.

The square root of 2012778496 is 44864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1735888896 + 276889600 = 41664^2 + 16640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012778491) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 2870946 + ... + 2871646.

Almost surely, 22012778496 is an apocalyptic number.

2012778496 is the 44864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012778496

2012778496 is an abundant number, since it is smaller than the sum of its proper divisors (2018037177).

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

2012778496 is an frugal number, since it uses more digits than its factorization.

2012778496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The cubic root of 2012778496 is about 1262.5986713196.

The spelling of 2012778496 in words is "two billion, twelve million, seven hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 701 1024 1402 2048 2804 4096 5608 11216 22432 44864 89728 179456 358912 491401 717824 982802 1435648 1965604 2871296 3931208 7862416 15724832 31449664 62899328 125798656 251597312 503194624 1006389248 2012778496