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13013784906 = 23107151134243
BaseRepresentation
bin11000001111010111…
…01001100101001010
31020120221201202210120
430013223221211022
5203123012104111
65551202324110
7640331226603
oct140753514512
936527652716
1013013784906
115578a40241
122632359636
1312c51ba255
148b6516daa
15512776406
hex307ae994a

13013784906 has 32 divisors (see below), whose sum is σ = 26444994048. Its totient is φ = 4268895600.

The previous prime is 13013784899. The next prime is 13013784913. The reversal of 13013784906 is 60948731031.

13013784906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13013784899) and next prime (13013784913).

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 15 ways as a sum of consecutive naturals, for example, 29821 + ... + 164063.

It is an arithmetic number, because the mean of its divisors is an integer number (826406064).

Almost surely, 213013784906 is an apocalyptic number.

13013784906 is an abundant number, since it is smaller than the sum of its proper divisors (13431209142).

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

13013784906 is a wasteful number, since it uses less digits than its factorization.

13013784906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134506.

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 13013784906 in words is "thirteen billion, thirteen million, seven hundred eighty-four thousand, nine hundred six".

Divisors: 1 2 3 6 107 151 214 302 321 453 642 906 16157 32314 48471 96942 134243 268486 402729 805458 14364001 20270693 28728002 40541386 43092003 60812079 86184006 121624158 2168964151 4337928302 6506892453 13013784906