Search a number
-
+
79390416168 = 23337235722277
BaseRepresentation
bin100100111110000001…
…0011001110100101000
321120220212002000012000
41021330002121310220
52300042421304133
6100245500051000
75510240255160
oct1117402316450
9246825060160
1079390416168
113073a902798
1213477833a60
137642a61c1b
143bb1c195a0
1520e9c0b413
hex127c099d28

79390416168 has 128 divisors (see below), whose sum is σ = 252151315200. Its totient is φ = 22672334592.

The previous prime is 79390416089. The next prime is 79390416169. The reversal of 79390416168 is 86161409397.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (79390416169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3552646 + ... + 3574922.

It is an arithmetic number, because the mean of its divisors is an integer number (1969932150).

Almost surely, 279390416168 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 79390416168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126075657600).

79390416168 is an abundant number, since it is smaller than the sum of its proper divisors (172760899032).

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

79390416168 is a wasteful number, since it uses less digits than its factorization.

79390416168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24656 (or 24646 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 79390416168 in words is "seventy-nine billion, three hundred ninety million, four hundred sixteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2357 4714 7071 9428 14142 16499 18856 21213 22277 28284 32998 42426 44554 49497 56568 63639 65996 66831 84852 89108 98994 127278 131992 133662 148491 155939 169704 178216 197988 200493 254556 267324 296982 311878 395976 400986 445473 467817 509112 534648 593964 601479 623756 801972 890946 935634 1187928 1202958 1247512 1403451 1603944 1781892 1871268 2405916 2806902 3563784 3742536 4210353 4811832 5613804 8420706 11227608 16841412 33682824 52506889 105013778 157520667 210027556 315041334 367548223 420055112 472562001 630082668 735096446 945124002 1102644669 1260165336 1417686003 1470192892 1890248004 2205289338 2835372006 2940385784 3307934007 3780496008 4410578676 5670744012 6615868014 8821157352 9923802021 11341488024 13231736028 19847604042 26463472056 39695208084 79390416168