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134364746217 = 313171315915401
BaseRepresentation
bin111110100100011000…
…0110101000111101001
3110211211002222022211010
41331020300311013221
54200134333334332
6141420514454133
712464453332662
oct1751060650751
9424732868733
10134364746217
1151a9043a609
122205a594349
13c8942433c0
146709048369
1537661369cc
hex1f48c351e9

134364746217 has 32 divisors (see below), whose sum is σ = 204311842560. Its totient is φ = 77811148800.

The previous prime is 134364746203. The next prime is 134364746233. The reversal of 134364746217 is 712647463431.

It is not a de Polignac number, because 134364746217 - 28 = 134364745961 is a prime.

It is a super-2 number, since 2×1343647462172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134364746237) 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, 8716717 + ... + 8732117.

It is an arithmetic number, because the mean of its divisors is an integer number (6384745080).

Almost surely, 2134364746217 is an apocalyptic number.

134364746217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

134364746217 is a deficient number, since it is larger than the sum of its proper divisors (69947096343).

134364746217 is a wasteful number, since it uses less digits than its factorization.

134364746217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28593.

The product of its digits is 2032128, while the sum is 48.

The spelling of 134364746217 in words is "one hundred thirty-four billion, three hundred sixty-four million, seven hundred forty-six thousand, two hundred seventeen".

Divisors: 1 3 13 17 39 51 221 663 13159 15401 39477 46203 171067 200213 223703 261817 513201 600639 671109 785451 2908139 3403621 8724417 10210863 202661759 607985277 2634602867 3445249903 7903808601 10335749709 44788248739 134364746217