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34171722913216 = 26776276167217
BaseRepresentation
bin1111100010100001110010…
…11001111101010111000000
311110222210012010100022011011
413301100321121331113000
513434332142031210331
6200402134531130304
710124553102154150
oct761207131752700
9143883163308134
1034171722913216
11a985167803009
1239ba860a43994
13160b4c2101725
14861cc50d0760
153e3d419ac3b1
hex1f143967d5c0

34171722913216 has 28 divisors (see below), whose sum is σ = 77496585893488. Its totient is φ = 14645024105472.

The previous prime is 34171722913193. The next prime is 34171722913217. The reversal of 34171722913216 is 61231922717143.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×341717229132162 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34171722913216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34171722913217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38138083161 + ... + 38138084056.

Almost surely, 234171722913216 is an apocalyptic number.

It is an amenable number.

34171722913216 is an abundant number, since it is smaller than the sum of its proper divisors (43324862980272).

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

34171722913216 is an equidigital number, since it uses as much as digits as its factorization.

34171722913216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76276167236 (or 76276167226 counting only the distinct ones).

The product of its digits is 762048, while the sum is 49.

The spelling of 34171722913216 in words is "thirty-four trillion, one hundred seventy-one billion, seven hundred twenty-two million, nine hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 76276167217 152552334434 305104668868 533933170519 610209337736 1067866341038 1220418675472 2135732682076 2440837350944 4271465364152 4881674701888 8542930728304 17085861456608 34171722913216