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29419213797 = 338335337189
BaseRepresentation
bin11011011001100001…
…011001001111100101
32210221021102220111000
4123121201121033211
5440222304320142
621303123503513
72061015122421
oct333141311745
983837386430
1029419213797
1111527419836
125850527b99
132a0ac65b1c
1415d1263b81
15b72b5414c
hex6d98593e5

29419213797 has 32 divisors (see below), whose sum is σ = 44235273600. Its totient is φ = 19321099776.

The previous prime is 29419213729. The next prime is 29419213801. The reversal of 29419213797 is 79731291492.

It is a happy number.

29419213797 is a `hidden beast` number, since 2 + 9 + 419 + 2 + 137 + 97 = 666.

It is not a de Polignac number, because 29419213797 - 27 = 29419213669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29419213717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772479 + ... + 809667.

It is an arithmetic number, because the mean of its divisors is an integer number (1382352300).

Almost surely, 229419213797 is an apocalyptic number.

29419213797 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

29419213797 is a deficient number, since it is larger than the sum of its proper divisors (14816059803).

29419213797 is a wasteful number, since it uses less digits than its factorization.

29419213797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37634 (or 37628 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The spelling of 29419213797 in words is "twenty-nine billion, four hundred nineteen million, two hundred thirteen thousand, seven hundred ninety-seven".

Divisors: 1 3 9 27 83 249 353 747 1059 2241 3177 9531 29299 37189 87897 111567 263691 334701 791073 1004103 3086687 9260061 13127717 27780183 39383151 83340549 118149453 354448359 1089600511 3268801533 9806404599 29419213797