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17106172122 = 23132334727479
BaseRepresentation
bin11111110111001101…
…10111100011011010
31122011011021120200110
433323212313203122
5240013140001442
611505232345150
71143623030634
oct177346674332
948134246613
1017106172122
117288a96336
1233949a51b6
1317c7cb8350
14b83c39a54
156a1b9a69c
hex3fb9b78da

17106172122 has 64 divisors (see below), whose sum is σ = 38558177280. Its totient is φ = 5019900864.

The previous prime is 17106172081. The next prime is 17106172133. The reversal of 17106172122 is 22127160171.

It is a super-2 number, since 2×171061721222 (a number of 21 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 17106172122.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 608779 + ... + 636257.

It is an arithmetic number, because the mean of its divisors is an integer number (602471520).

Almost surely, 217106172122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17106172122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19279088640).

17106172122 is an abundant number, since it is smaller than the sum of its proper divisors (21452005158).

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

17106172122 is a wasteful number, since it uses less digits than its factorization.

17106172122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27867.

The product of its (nonzero) digits is 2352, while the sum is 30.

The spelling of 17106172122 in words is "seventeen billion, one hundred six million, one hundred seventy-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 347 598 694 897 1041 1794 2082 4511 7981 9022 13533 15962 23943 27066 27479 47886 54958 82437 103753 164874 207506 311259 357227 622518 632017 714454 1071681 1264034 1896051 2143362 3792102 8216221 9535213 16432442 19070426 24648663 28605639 49297326 57211278 123957769 219309899 247915538 371873307 438619798 657929697 743746614 1315859394 2851028687 5702057374 8553086061 17106172122