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93899344900 = 2252306432
BaseRepresentation
bin101011101110011010…
…1100100110000000100
322222101000011221201211
41113130311210300010
53014301213014100
6111045312501204
76532625156014
oct1273465446004
9288330157654
1093899344900
1136905806689
121624684a804
138b15930c5a
14478ab2dc44
15269886d1ba
hex15dcd64c04

93899344900 has 27 divisors (see below), whose sum is σ = 203768228181. Its totient is φ = 37558512240.

The previous prime is 93899344873. The next prime is 93899344951. The reversal of 93899344900 is 944399839.

The square root of 93899344900 is 306430.

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

It can be written as a sum of positive squares in only one way, i.e., 33803764164 + 60095580736 = 183858^2 + 245144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3048979 + ... + 3079621.

Almost surely, 293899344900 is an apocalyptic number.

93899344900 is the 306430-th square number.

It is an amenable number.

93899344900 is an abundant number, since it is smaller than the sum of its proper divisors (109868883281).

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

93899344900 is an frugal number, since it uses more digits than its factorization.

93899344900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61300 (or 30650 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 58.

The spelling of 93899344900 in words is "ninety-three billion, eight hundred ninety-nine million, three hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 30643 61286 122572 153215 306430 612860 766075 1532150 3064300 938993449 1877986898 3755973796 4694967245 9389934490 18779868980 23474836225 46949672450 93899344900