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163819020728 = 2311171913591597
BaseRepresentation
bin1001100010010001011…
…1111110000110111000
3120122211211101111120002
42120210113332012320
510141000132130403
6203131334052132
714556405462266
oct2304427760670
9518754344502
10163819020728
1163525625a40
12278ba7aa048
13125a95337bc
147d00bd7436
1543dbdb4188
hex26245fe1b8

163819020728 has 128 divisors (see below), whose sum is σ = 357870182400. Its totient is φ = 69478348800.

The previous prime is 163819020683. The next prime is 163819020733. The reversal of 163819020728 is 827020918361.

It is a happy number.

163819020728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102578426 + ... + 102580022.

It is an arithmetic number, because the mean of its divisors is an integer number (2795860800).

Almost surely, 2163819020728 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 163819020728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178935091200).

163819020728 is an abundant number, since it is smaller than the sum of its proper divisors (194051161672).

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

163819020728 is a wasteful number, since it uses less digits than its factorization.

163819020728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 163819020728 in words is "one hundred sixty-three billion, eight hundred nineteen million, twenty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 191 359 374 382 718 748 764 1436 1496 1528 1597 2101 2872 3194 3247 3949 4202 6103 6388 6494 7898 8404 12206 12776 12988 15796 16808 17567 24412 25976 27149 31592 35134 35717 48824 54298 67133 68569 70268 71434 108596 134266 137138 140536 142868 217192 268532 274276 285736 298639 305027 537064 548552 573323 597278 610054 754259 1146646 1165673 1194556 1220108 1508518 2293292 2331346 2389112 2440216 3017036 3355297 4586584 4662692 5185459 6034072 6306553 6710594 9325384 9746491 10370918 12613106 12822403 13421188 19492982 20741836 25226212 25644806 26842376 38985964 41483672 50452424 51289612 57040049 77971928 102579224 107211401 109504693 114080098 214422802 219009386 228160196 428845604 438018772 456320392 857691208 876037544 1204551623 1861579781 2409103246 3723159562 4818206492 7446319124 9636412984 14892638248 20477377591 40954755182 81909510364 163819020728