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89305522688 = 294722812
BaseRepresentation
bin101001100101100000…
…1100010001000000000
322112111212002121100102
41103023001202020000
52430344203211223
6105005411141532
76311034263234
oct1231301421000
9275455077312
1089305522688
1134968703aa8
12153842a48a8
138562c97865
1444729a05c4
1524ca3ea928
hex14cb062200

89305522688 has 90 divisors (see below), whose sum is σ = 182965034373. Its totient is φ = 43547176960.

The previous prime is 89305522679. The next prime is 89305522717. The reversal of 89305522688 is 88622550398.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 86454817024 + 2850705664 = 294032^2 + 53392^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=211312.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 317813108 + ... + 317813388.

Almost surely, 289305522688 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 89305522688

89305522688 is an abundant number, since it is smaller than the sum of its proper divisors (93659511685).

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

89305522688 is an frugal number, since it uses more digits than its factorization.

89305522688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 56.

The spelling of 89305522688 in words is "eighty-nine billion, three hundred five million, five hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 281 376 512 562 752 1124 1504 2209 2248 3008 4418 4496 6016 8836 8992 12032 13207 17672 17984 24064 26414 35344 35968 52828 70688 71936 78961 105656 141376 143872 157922 211312 282752 315844 422624 565504 620729 631688 845248 1131008 1241458 1263376 1690496 2482916 2526752 3380992 3711167 4965832 5053504 6761984 7422334 9931664 10107008 14844668 19863328 20214016 29689336 39726656 40428032 59378672 79453312 118757344 158906624 174424849 237514688 317813248 348849698 475029376 697699396 950058752 1395398792 1900117504 2790797584 5581595168 11163190336 22326380672 44652761344 89305522688