Search a number
-
+
84428832136 = 2311193710491301
BaseRepresentation
bin100111010100001011…
…0011011110110001000
322001220222202001112211
41032220112123312020
52340402240112021
6102441442514504
76046140142435
oct1165026336610
9261828661484
1084428832136
1132895969230
1214443065a34
137c6685134c
14412d03ab8c
1522e22003e1
hex13a859bd88

84428832136 has 128 divisors (see below), whose sum is σ = 187019280000. Its totient is φ = 35313408000.

The previous prime is 84428832133. The next prime is 84428832139. The reversal of 84428832136 is 63123882448.

It is an interprime number because it is at equal distance from previous prime (84428832133) and next prime (84428832139).

It is a self number, because there is not a number n which added to its sum of digits gives 84428832136.

It is not an unprimeable number, because it can be changed into a prime (84428832133) 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, 64894686 + ... + 64895986.

It is an arithmetic number, because the mean of its divisors is an integer number (1461088125).

Almost surely, 284428832136 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 84428832136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93509640000).

84428832136 is an abundant number, since it is smaller than the sum of its proper divisors (102590447864).

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

84428832136 is a wasteful number, since it uses less digits than its factorization.

84428832136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2419 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 49.

The spelling of 84428832136 in words is "eighty-four billion, four hundred twenty-eight million, eight hundred thirty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 19 22 37 38 44 74 76 88 148 152 209 296 407 418 703 814 836 1049 1301 1406 1628 1672 2098 2602 2812 3256 4196 5204 5624 7733 8392 10408 11539 14311 15466 19931 23078 24719 28622 30932 38813 39862 46156 48137 49438 57244 61864 77626 79724 92312 96274 98876 114488 155252 159448 192548 197752 219241 271909 310504 385096 426943 438482 529507 543818 737447 853886 876964 914603 1059014 1087636 1364749 1474894 1707772 1753928 1829206 2118028 2175272 2729498 2949788 3415544 3658412 4236056 5458996 5899576 7316824 8111917 10060633 10917992 15012239 16223834 20121266 25930231 30024478 32447668 40242532 50495713 51860462 60048956 64895336 80485064 100991426 103720924 120097912 201982852 207441848 285232541 403965704 555452843 570465082 959418547 1110905686 1140930164 1918837094 2221811372 2281860328 3837674188 4443622744 7675348376 10553604017 21107208034 42214416068 84428832136