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96804988225 = 5211256572
BaseRepresentation
bin101101000101000000…
…1101110010101000001
3100020212111122221001021
41122022001232111001
53041224034110400
6112245510505441
76664626552241
oct1321201562501
9306774587037
1096804988225
113806698a500
1216917965281
1391898c952a
1449849b3b21
1527b89c471a
hex168a06e541

96804988225 has 27 divisors (see below), whose sum is σ = 131966126761. Its totient is φ = 70391182400.

The previous prime is 96804988219. The next prime is 96804988253. The reversal of 96804988225 is 52288940869.

The square root of 96804988225 is 311135.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31430680369 + 65374307856 = 177287^2 + 255684^2 .

It is not a de Polignac number, because 96804988225 - 219 = 96804463937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17109597 + ... + 17115253.

Almost surely, 296804988225 is an apocalyptic number.

96804988225 is the 311135-th square number.

96804988225 is the 155568-th centered octagonal number.

It is an amenable number.

96804988225 is a deficient number, since it is larger than the sum of its proper divisors (35161138536).

96804988225 is an frugal number, since it uses more digits than its factorization.

96804988225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11346 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 61.

The spelling of 96804988225 in words is "ninety-six billion, eight hundred four million, nine hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 5657 28285 62227 141425 311135 684497 1555675 3422485 17112425 32001649 160008245 352018139 800041225 1760090695 3872199529 8800453475 19360997645 96804988225