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99729666 = 23229316163
BaseRepresentation
bin1011111000111…
…00000100000010
320221122210101100
411330130010002
5201012322131
613521315230
72320455021
oct574340402
9227583340
1099729666
1151327413
1229495b16
131787a74a
14d3608b8
158b4e7e6
hex5f1c102

99729666 has 48 divisors (see below), whose sum is σ = 230780160. Its totient is φ = 31056480.

The previous prime is 99729649. The next prime is 99729673. The reversal of 99729666 is 66692799.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13101 + ... + 19263.

It is an arithmetic number, because the mean of its divisors is an integer number (4807920).

Almost surely, 299729666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99729666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115390080).

99729666 is an abundant number, since it is smaller than the sum of its proper divisors (131050494).

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

99729666 is a wasteful number, since it uses less digits than its factorization.

99729666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6231 (or 6228 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 99729666 is about 9986.4741525726. The cubic root of 99729666 is about 463.7402461362.

The spelling of 99729666 in words is "ninety-nine million, seven hundred twenty-nine thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 558 899 1798 2697 5394 6163 8091 12326 16182 18489 36978 55467 110934 178727 191053 357454 382106 536181 573159 1072362 1146318 1608543 1719477 3217086 3438954 5540537 11081074 16621611 33243222 49864833 99729666