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993539106 = 23278639137
BaseRepresentation
bin111011001110000…
…011010000100010
32120020112000102200
4323032003100202
54013321222411
6242330554030
733422641320
oct7316032042
92506460380
10993539106
1146a9106aa
12238898916
1312aab7481
1495d48d10
155c356e56
hex3b383422

993539106 has 48 divisors (see below), whose sum is σ = 2463312384. Its totient is φ = 283508352.

The previous prime is 993539083. The next prime is 993539149. The reversal of 993539106 is 601935399.

993539106 is a `hidden beast` number, since 9 + 9 + 3 + 539 + 106 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104170 + ... + 113306.

It is an arithmetic number, because the mean of its divisors is an integer number (51319008).

Almost surely, 2993539106 is an apocalyptic number.

993539106 is an abundant number, since it is smaller than the sum of its proper divisors (1469773278).

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

993539106 is a wasteful number, since it uses less digits than its factorization.

993539106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10015 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 993539106 is about 31520.4553583859. The cubic root of 993539106 is about 997.8417138187.

The spelling of 993539106 in words is "nine hundred ninety-three million, five hundred thirty-nine thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 863 1726 2589 5178 6041 7767 9137 12082 15534 18123 18274 27411 36246 54369 54822 63959 82233 108738 127918 164466 191877 383754 575631 1151262 7885231 15770462 23655693 47311386 55196617 70967079 110393234 141934158 165589851 331179702 496769553 993539106