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99296832996 = 223229218112
BaseRepresentation
bin101110001111010001…
…1010110110111100100
3100111022011111202110100
41130132203112313210
53111324442123441
6113341043424100
710113445103634
oct1343643266744
9314264452410
1099296832996
1139125523349
12172b2385030
139495c319aa
144b3d9006c4
1528b263dcb6
hex171e8d6de4

99296832996 has 81 divisors (see below), whose sum is σ = 260097587113. Its totient is φ = 31939955040.

The previous prime is 99296832991. The next prime is 99296833001. The reversal of 99296832996 is 69923869299.

The square root of 99296832996 is 315114.

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

99296832996 is a `hidden beast` number, since 9 + 9 + 296 + 8 + 329 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (99296832991) and next prime (99296833001).

It can be written as a sum of positive squares in only one way, i.e., 52068850596 + 47227982400 = 228186^2 + 217320^2 .

It is a super-2 number, since 2×992968329962 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99296832991) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54828931 + ... + 54830741.

Almost surely, 299296832996 is an apocalyptic number.

99296832996 is the 315114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99296832996

99296832996 is an abundant number, since it is smaller than the sum of its proper divisors (160800754117).

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

99296832996 is a wasteful number, since it uses less digits than its factorization.

99296832996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 1845 counting only the distinct ones).

The product of its digits is 204073344, while the sum is 72.

The spelling of 99296832996 in words is "ninety-nine billion, two hundred ninety-six million, eight hundred thirty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 1811 2523 3364 3622 5046 5433 7244 7569 10092 10866 15138 16299 21732 30276 32598 52519 65196 105038 157557 210076 315114 472671 630228 945342 1523051 1890684 3046102 3279721 4569153 6092204 6559442 9138306 9839163 13118884 13707459 18276612 19678326 27414918 29517489 39356652 54829836 59034978 95111909 118069956 190223818 285335727 380447636 570671454 856007181 1141342908 1712014362 2758245361 3424028724 5516490722 8274736083 11032981444 16549472166 24824208249 33098944332 49648416498 99296832996