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99434900889 = 381722292
BaseRepresentation
bin101110010011011001…
…0000010110110011001
3100111122210022100000000
41130212302002312121
53112120313312024
6113402455003213
710120042466142
oct1344662026631
9314583270000
1099434900889
1139196455845
1217330669509
1394b871377c
144b53da0ac9
1528be812cc9
hex1726c82d99

99434900889 has 81 divisors (see below), whose sum is σ = 159128940477. Its totient is φ = 62118078336.

The previous prime is 99434900881. The next prime is 99434900891. The reversal of 99434900889 is 98800943499.

The square root of 99434900889 is 315333.

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 52732233225 + 46702667664 = 229635^2 + 216108^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 99434900889 - 23 = 99434900881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99434900881) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 434213427 + ... + 434213655.

Almost surely, 299434900889 is an apocalyptic number.

99434900889 is the 315333-rd square number.

99434900889 is the 157667-th centered octagonal number.

It is an amenable number.

99434900889 is a deficient number, since it is larger than the sum of its proper divisors (59694039588).

99434900889 is an frugal number, since it uses more digits than its factorization.

99434900889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 99434900889 in words is "ninety-nine billion, four hundred thirty-four million, nine hundred thousand, eight hundred eighty-nine".

Divisors: 1 3 9 17 27 51 81 153 229 243 289 459 687 729 867 1377 2061 2187 2601 3893 4131 6183 6561 7803 11679 12393 18549 23409 35037 37179 52441 55647 66181 70227 105111 111537 157323 166941 198543 210681 315333 471969 500823 595629 632043 891497 945999 1415907 1502469 1786887 1896129 2674491 2837997 4247721 5360661 8023473 8513991 12743163 15155449 16081983 24070419 25541973 38229489 45466347 48245949 72211257 114688467 136399041 144737847 216633771 344065401 409197123 434213541 649901313 1227591369 1949703939 3682774107 5849111817 11048322321 33144966963 99434900889