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29038301613 = 32171117169913
BaseRepresentation
bin11011000010110100…
…010101000110101101
32202221201200120012100
4123002310111012231
5433432301122423
621201235325313
72045411330316
oct330264250655
982851616170
1029038301613
1111351400882
125764a50839
13297a0786b9
14159682b60d
15b4e4b1343
hex6c2d151ad

29038301613 has 24 divisors (see below), whose sum is σ = 44451541368. Its totient is φ = 18203692032.

The previous prime is 29038301581. The next prime is 29038301639. The reversal of 29038301613 is 31610383092.

29038301613 is a `hidden beast` number, since 2 + 9 + 0 + 3 + 8 + 30 + 1 + 613 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9662496804 + 19375804809 = 98298^2 + 139197^2 .

It is not a de Polignac number, because 29038301613 - 25 = 29038301581 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29038301653) 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 23 ways as a sum of consecutive naturals, for example, 85945 + ... + 255857.

It is an arithmetic number, because the mean of its divisors is an integer number (1852147557).

Almost surely, 229038301613 is an apocalyptic number.

It is an amenable number.

29038301613 is a deficient number, since it is larger than the sum of its proper divisors (15413239755).

29038301613 is a wasteful number, since it uses less digits than its factorization.

29038301613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171053 (or 171050 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 29038301613 in words is "twenty-nine billion, thirty-eight million, three hundred one thousand, six hundred thirteen".

Divisors: 1 3 9 17 51 153 1117 3351 10053 18989 56967 169913 170901 509739 1529217 2888521 8665563 25996689 189792821 569378463 1708135389 3226477957 9679433871 29038301613