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15983068164 = 22373118133911
BaseRepresentation
bin11101110001010101…
…00100010000000100
31112020212221222200120
432320222210100010
5230213131140124
611201552341540
71104034560240
oct167052442004
945225858616
1015983068164
116862030748
1231208448b0
1316794084ab
14ab8a05420
1563829dd79
hex3b8aa4404

15983068164 has 96 divisors (see below), whose sum is σ = 44240781312. Its totient is φ = 4394736000.

The previous prime is 15983068159. The next prime is 15983068217. The reversal of 15983068164 is 46186038951.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454369 + ... + 488279.

It is an arithmetic number, because the mean of its divisors is an integer number (460841472).

Almost surely, 215983068164 is an apocalyptic number.

15983068164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15983068164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22120390656).

15983068164 is an abundant number, since it is smaller than the sum of its proper divisors (28257713148).

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

15983068164 is a wasteful number, since it uses less digits than its factorization.

15983068164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34137 (or 34135 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 15983068164 in words is "fifteen billion, nine hundred eighty-three million, sixty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 181 186 217 362 372 434 543 651 724 868 1086 1267 1302 2172 2534 2604 3801 5068 5611 7602 11222 15204 16833 22444 33666 33911 39277 67332 67822 78554 101733 117831 135644 157108 203466 235662 237377 406932 471324 474754 712131 949508 1051241 1424262 2102482 2848524 3153723 4204964 6137891 6307446 7358687 12275782 12614892 14717374 18413673 22076061 24551564 29434748 36827346 42965237 44152122 73654692 85930474 88304244 128895711 171860948 190274621 257791422 380549242 515582844 570823863 761098484 1141647726 1331922347 2283295452 2663844694 3995767041 5327689388 7991534082 15983068164