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1994788096 = 2871139851
BaseRepresentation
bin111011011100110…
…0000110100000000
312011000112201211121
41312321200310000
513041131204341
6525535122024
7100301263510
oct16671406400
95130481747
101994788096
11934007904
12478073314
1325a370cb2
1414ccdd840
15ba1d34d1
hex76e60d00

1994788096 has 72 divisors (see below), whose sum is σ = 4591347264. Its totient is φ = 847257600.

The previous prime is 1994788073. The next prime is 1994788121. The reversal of 1994788096 is 6908874991.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 197571 + ... + 207421.

It is an arithmetic number, because the mean of its divisors is an integer number (63768712).

Almost surely, 21994788096 is an apocalyptic number.

1994788096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1994788096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295673632).

1994788096 is an abundant number, since it is smaller than the sum of its proper divisors (2596559168).

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

1994788096 is an equidigital number, since it uses as much as digits as its factorization.

1994788096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9987 (or 9973 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 61.

The square root of 1994788096 is about 44663.0506795046. The cubic root of 1994788096 is about 1258.8256665777.

The spelling of 1994788096 in words is "one billion, nine hundred ninety-four million, seven hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 128 224 226 256 448 452 791 896 904 1582 1792 1808 3164 3616 6328 7232 9851 12656 14464 19702 25312 28928 39404 50624 68957 78808 101248 137914 157616 202496 275828 315232 551656 630464 1103312 1113163 1260928 2206624 2226326 2521856 4413248 4452652 7792141 8826496 8905304 15584282 17652992 17810608 31168564 35621216 62337128 71242432 124674256 142484864 249348512 284969728 498697024 997394048 1994788096