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89709261920 = 2552694994177
BaseRepresentation
bin101001110001100010…
…1101011010001100000
322120112222210200110022
41103203011223101200
52432211032340140
6105113432453012
76324036100445
oct1234305532140
9276488720408
1089709261920
11350555a3293
121547754a168
1385c8818105
1444b04599cc
152500a9c0b5
hex14e316b460

89709261920 has 96 divisors (see below), whose sum is σ = 213203340000. Its totient is φ = 35670122496.

The previous prime is 89709261913. The next prime is 89709261937. The reversal of 89709261920 is 2916290798.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21474872 + ... + 21479048.

It is an arithmetic number, because the mean of its divisors is an integer number (2220868125).

Almost surely, 289709261920 is an apocalyptic number.

89709261920 is a gapful number since it is divisible by the number (80) 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 89709261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106601670000).

89709261920 is an abundant number, since it is smaller than the sum of its proper divisors (123494078080).

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

89709261920 is a wasteful number, since it uses less digits than its factorization.

89709261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 53.

The spelling of 89709261920 in words is "eighty-nine billion, seven hundred nine million, two hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 269 499 538 998 1076 1345 1996 2152 2495 2690 3992 4177 4304 4990 5380 7984 8354 8608 9980 10760 15968 16708 19960 20885 21520 33416 39920 41770 43040 66832 79840 83540 133664 134231 167080 268462 334160 536924 668320 671155 1073848 1123613 1342310 2084323 2147696 2247226 2684620 4168646 4295392 4494452 5369240 5618065 8337292 8988904 10421615 10738480 11236130 16674584 17977808 20843230 21476960 22472260 33349168 35955616 41686460 44944520 66698336 83372920 89889040 166745840 179778080 333491680 560682887 1121365774 2242731548 2803414435 4485463096 5606828870 8970926192 11213657740 17941852384 22427315480 44854630960 89709261920