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168080022923168 = 25233119531377183
BaseRepresentation
bin100110001101111000101110…
…000011110110011110100000
3211001010021220210100010210102
4212031320232003312132200
5134012310341332020133
61353250521354121532
750255244441004226
oct4615705603663640
9731107823303712
10168080022923168
1149612379115064
1216a2704b7202a8
1372a2b553b81a5
142d7118ba0cb16
1514672317d37e8
hex98de2e0f67a0

168080022923168 has 96 divisors (see below), whose sum is σ = 356452567252992. Its totient is φ = 77788808697600.

The previous prime is 168080022923159. The next prime is 168080022923179. The reversal of 168080022923168 is 861329220080861.

It is a happy number.

168080022923168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445430705 + ... + 445807887.

It is an arithmetic number, because the mean of its divisors is an integer number (3713047575552).

Almost surely, 2168080022923168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168080022923168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178226283626496).

168080022923168 is an abundant number, since it is smaller than the sum of its proper divisors (188372544329824).

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

168080022923168 is a wasteful number, since it uses less digits than its factorization.

168080022923168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396778 (or 396770 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 56.

The spelling of 168080022923168 in words is "one hundred sixty-eight trillion, eighty billion, twenty-two million, nine hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 496 713 736 992 1426 2852 5704 11408 19531 22816 39062 78124 156248 312496 377183 449213 605461 624992 754366 898426 1210922 1508732 1796852 2421844 3017464 3593704 4843688 6034928 7187408 8675209 9687376 11692673 12069856 13925603 14374816 17350418 19374752 23385346 27851206 34700836 46770692 55702412 69401672 93541384 111404824 138803344 187082768 222809648 268931479 277606688 374165536 445619296 537862958 1075725916 2151451832 4302903664 7366761173 8605807328 14733522346 29467044692 58934089384 117868178768 169435506979 228369596363 235736357536 338871013958 456739192726 677742027916 913478385452 1355484055832 1826956770904 2710968111664 3653913541808 5252500716349 5421936223328 7307827083616 10505001432698 21010002865396 42020005730792 84040011461584 168080022923168