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216171702171616 = 25436113011979581
BaseRepresentation
bin110001001001101101100101…
…100001001011011111100000
31001100101210221121022220220111
4301021231211201023133200
5211313224121223442431
62043431524203021104
763350614204610032
oct6111554541133740
91040353847286814
10216171702171616
11629739a4322694
12202b363580a794
139380b9a25b0b9
143b54aa26a7c52
1519ed1c6e477b1
hexc49b6584b7e0

216171702171616 has 96 divisors (see below), whose sum is σ = 442964982864096. Its totient is φ = 103761665280000.

The previous prime is 216171702171569. The next prime is 216171702171617. The reversal of 216171702171616 is 616171207171612.

It is a self number, because there is not a number n which added to its sum of digits gives 216171702171616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216171702171617) 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 15 ways as a sum of consecutive naturals, for example, 108210946 + ... + 110190526.

It is an arithmetic number, because the mean of its divisors is an integer number (4614218571501).

Almost surely, 2216171702171616 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 216171702171616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221482491432048).

216171702171616 is an abundant number, since it is smaller than the sum of its proper divisors (226793280692480).

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

216171702171616 is a wasteful number, since it uses less digits than its factorization.

216171702171616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980996 (or 1980988 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 49.

The spelling of 216171702171616 in words is "two hundred sixteen trillion, one hundred seventy-one billion, seven hundred two million, one hundred seventy-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 43 61 86 122 172 244 344 488 688 976 1301 1376 1952 2602 2623 5204 5246 10408 10492 20816 20984 41632 41968 55943 79361 83936 111886 158722 223772 317444 447544 634888 895088 1269776 1790176 1979581 2539552 3412523 3959162 6825046 7918324 13650092 15836648 27300184 31673296 54600368 63346592 85121983 109200736 120754441 170243966 241508882 340487932 483017764 680975864 966035528 1361951728 1932071056 2575434881 2723903456 3864142112 5150869762 5192440963 10301739524 10384881926 20603479048 20769763852 41206958096 41539527704 82413916192 83079055408 110743699883 157101527741 166158110816 221487399766 314203055482 442974799532 628406110964 885949599064 1256812221928 1771899198128 2513624443856 3543798396256 5027248887712 6755365692863 13510731385726 27021462771452 54042925542904 108085851085808 216171702171616