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99820584769 = 416139912269
BaseRepresentation
bin101110011110111000…
…1010011111101000001
3100112122200001002211011
41130331301103331001
53113413032203034
6113505033320521
710132434654013
oct1347561237501
9315580032734
1099820584769
1139374132854
1217419866141
13954a5b1a99
144b8d2ba1b3
1528e35e9864
hex173dc53f41

99820584769 has 8 divisors (see below), whose sum is σ = 103931551080. Its totient is φ = 95789443200.

The previous prime is 99820584767. The next prime is 99820584779. The reversal of 99820584769 is 96748502899.

It can be written as a sum of positive squares in 4 ways, for example, as 16030598544 + 83789986225 = 126612^2 + 289465^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 99820584769 - 21 = 99820584767 is a prime.

It is a super-2 number, since 2×998205847692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99820584767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19953634 + ... + 19958635.

It is an arithmetic number, because the mean of its divisors is an integer number (12991443885).

Almost surely, 299820584769 is an apocalyptic number.

It is an amenable number.

99820584769 is a deficient number, since it is larger than the sum of its proper divisors (4110966311).

99820584769 is a wasteful number, since it uses less digits than its factorization.

99820584769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39912371.

The product of its (nonzero) digits is 78382080, while the sum is 67.

The spelling of 99820584769 in words is "ninety-nine billion, eight hundred twenty million, five hundred eighty-four thousand, seven hundred sixty-nine".

Divisors: 1 41 61 2501 39912269 1636403029 2434648409 99820584769