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96292916721 = 31012772
BaseRepresentation
bin101100110101110000…
…0010100110111110001
3100012112211010000000000
41121223200110313301
53034201441313341
6112123015220213
76646141200351
oct1315340246761
9305484100000
1096292916721
1137923928611
12167b4377669
1391077a8a41
144936998b61
152788a748b6
hex166b814df1

96292916721 has 33 divisors (see below), whose sum is σ = 144551756011. Its totient is φ = 64145007432.

The previous prime is 96292916659. The next prime is 96292916777. The reversal of 96292916721 is 12761929269.

The square root of 96292916721 is 310311.

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

96292916721 is a `hidden beast` number, since 9 + 629 + 2 + 9 + 1 + 6 + 7 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63254765025 + 33038151696 = 251505^2 + 181764^2 .

It is not a de Polignac number, because 96292916721 - 231 = 94145433073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96292916021) by changing a digit.

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 32 ways as a sum of consecutive naturals, for example, 75404935 + ... + 75406211.

Almost surely, 296292916721 is an apocalyptic number.

96292916721 is the 310311-st square number.

96292916721 is the 155156-th centered octagonal number.

It is an amenable number.

96292916721 is a deficient number, since it is larger than the sum of its proper divisors (48258839290).

96292916721 is an frugal number, since it uses more digits than its factorization.

96292916721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 1280 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 96292916721 in words is "ninety-six billion, two hundred ninety-two million, nine hundred sixteen thousand, seven hundred twenty-one".

Divisors: 1 3 9 27 81 243 729 1277 2187 3831 6561 11493 19683 34479 59049 103437 310311 930933 1630729 2792799 4892187 8378397 14676561 25135191 44029683 75405573 132089049 396267147 1188801441 3566404323 10699212969 32097638907 96292916721