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89360340624 = 24322928592
BaseRepresentation
bin101001100111001001…
…0101001011010010000
322112122200020122102100
41103032102221122100
52431002221344444
6105015050120400
76312301235262
oct1231622513220
9275580218370
1089360340624
1134996645585
121539a720100
13857144bbc9
144479d8db32
1524d0127e69
hex14ce4a9690

89360340624 has 135 divisors (see below), whose sum is σ = 259307694633. Its totient is φ = 28726169472.

The previous prime is 89360340613. The next prime is 89360340689. The reversal of 89360340624 is 42604306398.

The square root of 89360340624 is 298932.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46858395024 + 42501945600 = 216468^2 + 206160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 89360340624.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104027907 + ... + 104028765.

Almost surely, 289360340624 is an apocalyptic number.

89360340624 is the 298932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89360340624

89360340624 is an abundant number, since it is smaller than the sum of its proper divisors (169947354009).

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

89360340624 is an equidigital number, since it uses as much as digits as its factorization.

89360340624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 89360340624 in words is "eighty-nine billion, three hundred sixty million, three hundred forty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 841 859 1044 1392 1682 1718 2088 2523 2577 3364 3436 4176 5046 5154 6728 6872 7569 7731 10092 10308 13456 13744 15138 15462 20184 20616 24911 30276 30924 40368 41232 49822 60552 61848 74733 99644 121104 123696 149466 199288 224199 298932 398576 448398 597864 722419 737881 896796 1195728 1444838 1475762 1793592 2167257 2213643 2889676 2951524 3587184 4334514 4427286 5779352 5903048 6501771 6640929 8669028 8854572 11558704 11806096 13003542 13281858 17338056 17709144 21398549 26007084 26563716 34676112 35418288 42797098 52014168 53127432 64195647 85594196 104028336 106254864 128391294 171188392 192586941 256782588 342376784 385173882 513565176 620557921 770347764 1027130352 1241115842 1540695528 1861673763 2482231684 3081391056 3723347526 4964463368 5585021289 7446695052 9928926736 11170042578 14893390104 22340085156 29786780208 44680170312 89360340624