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10013433144 = 23311132917667
BaseRepresentation
bin10010101001101100…
…01101110100111000
3221211212001002221020
421110312031310320
5131001414330034
64333342342440
7503066530431
oct112466156470
927755032836
1010013433144
11427935a590
121b3558aa20
13c37711890
146adc5c488
153d9163249
hex254d8dd38

10013433144 has 64 divisors (see below), whose sum is σ = 29410093440. Its totient is φ = 2800959360.

The previous prime is 10013433137. The next prime is 10013433149. The reversal of 10013433144 is 44133431001.

10013433144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013433149) by changing a digit.

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, 1455402 + ... + 1462265.

It is an arithmetic number, because the mean of its divisors is an integer number (459532710).

Almost surely, 210013433144 is an apocalyptic number.

It is an amenable number.

10013433144 is an abundant number, since it is smaller than the sum of its proper divisors (19396660296).

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

10013433144 is a wasteful number, since it uses less digits than its factorization.

10013433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917700 (or 2917696 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10013433144 its reverse (44133431001), we get a palindrome (54146864145).

The spelling of 10013433144 in words is "ten billion, thirteen million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 2917667 5835334 8753001 11670668 17506002 23341336 32094337 35012004 37929671 64188674 70024008 75859342 96283011 113789013 128377348 151718684 192566022 227578026 256754696 303437368 385132044 417226381 455156052 770264088 834452762 910312104 1251679143 1668905524 2503358286 3337811048 5006716572 10013433144