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992279828768 = 2529326012
BaseRepresentation
bin11100111000010000111…
…11001001100100100000
310111212020200120002111012
432130020133021210200
5112224142114010033
62035502544240052
7131455422244124
oct16341037114440
93455220502435
10992279828768
11352907104a98
12140388610028
1372757a10197
1436052dc1584
151ac28ae3248
hexe7087c9920

992279828768 has 54 divisors (see below), whose sum is σ = 1963508137227. Its totient is φ = 493623897600.

The previous prime is 992279828621. The next prime is 992279828783. The reversal of 992279828768 is 867828972299.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 972850814224 + 19429014544 = 986332^2 + 139388^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=704372.

It is a Duffinian number.

Its product of digits (877879296) is a multiple of the sum of its prime divisors (896).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1651047668 + ... + 1651048268.

Almost surely, 2992279828768 is an apocalyptic number.

It is an amenable number.

992279828768 is a deficient number, since it is larger than the sum of its proper divisors (971228308459).

992279828768 is an frugal number, since it uses more digits than its factorization.

992279828768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 896 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 77.

The spelling of 992279828768 in words is "nine hundred ninety-two billion, two hundred seventy-nine million, eight hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 293 586 601 1172 1202 2344 2404 4688 4808 9376 9616 19232 85849 171698 176093 343396 352186 361201 686792 704372 722402 1373584 1408744 1444804 2747168 2817488 2889608 5634976 5779216 11558432 51595249 103190498 105831893 206380996 211663786 412761992 423327572 825523984 846655144 1651047968 1693310288 3386620576 31008744649 62017489298 124034978596 248069957192 496139914384 992279828768