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34069168182 = 2375373209659
BaseRepresentation
bin11111101110101011…
…100100000000110110
310020221100011001201210
4133232223210000312
51024233201340212
623352352302250
72314160102640
oct375653440066
9106840131653
1034069168182
11134a3180345
126729841986
13329c42381a
141912a45890
15d45eb353c
hex7eeae4036

34069168182 has 64 divisors (see below), whose sum is σ = 80428930560. Its totient is φ = 9419514624.

The previous prime is 34069168153. The next prime is 34069168201. The reversal of 34069168182 is 28186196043.

It is a super-2 number, since 2×340691681822 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 57669 + ... + 267327.

It is an arithmetic number, because the mean of its divisors is an integer number (1256702040).

Almost surely, 234069168182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34069168182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40214465280).

34069168182 is an abundant number, since it is smaller than the sum of its proper divisors (46359762378).

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

34069168182 is a wasteful number, since it uses less digits than its factorization.

34069168182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209797.

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 34069168182 in words is "thirty-four billion, sixty-nine million, one hundred sixty-eight thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 53 73 106 146 159 219 318 371 438 511 742 1022 1113 1533 2226 3066 3869 7738 11607 23214 27083 54166 81249 162498 209659 419318 628977 1257954 1467613 2935226 4402839 8805678 11111927 15305107 22223854 30610214 33335781 45915321 66671562 77783489 91830642 107135749 155566978 214271498 233350467 321407247 466700934 642814494 811170671 1622341342 2433512013 4867024026 5678194697 11356389394 17034584091 34069168182