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96592041015625 = 512172372
BaseRepresentation
bin10101111101100110010110…
…010010101111100101001001
3110200000002221102020120210201
4111331212112102233211021
5100130031000000000000
6541233434314212201
726226354551552101
oct2575462622574511
9420002842216721
1096592041015625
1128860500005371
12aa00227124061
1341b878a0c57cc
1419bd118ac8201
15b278a9a8996a
hex57d9964af949

96592041015625 has 117 divisors (see below), whose sum is σ = 131820373427169. Its totient is φ = 70762500000000.

The previous prime is 96592041015607. The next prime is 96592041015629. The reversal of 96592041015625 is 52651014029569.

The square root of 96592041015625 is 9828125.

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

It can be written as a sum of positive squares in 58 ways, for example, as 95613136570809 + 978904444816 = 9778197^2 + 989396^2 .

It is not a de Polignac number, because 96592041015625 - 217 = 96592040884553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96592041015629) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 2610595703107 + ... + 2610595703143.

Almost surely, 296592041015625 is an apocalyptic number.

96592041015625 is the 9828125-th square number.

96592041015625 is the 4914063-rd centered octagonal number.

It is an amenable number.

96592041015625 is a deficient number, since it is larger than the sum of its proper divisors (35228332411544).

96592041015625 is an frugal number, since it uses more digits than its factorization.

96592041015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 55.

The spelling of 96592041015625 in words is "ninety-six trillion, five hundred ninety-two billion, forty-one million, fifteen thousand, six hundred twenty-five".

Divisors: 1 5 17 25 37 85 125 185 289 425 625 629 925 1369 1445 2125 3125 3145 4625 6845 7225 10625 10693 15625 15725 23125 23273 34225 36125 53125 53465 78125 78625 115625 116365 171125 180625 265625 267325 390625 393125 395641 578125 581825 855625 903125 1328125 1336625 1953125 1965625 1978205 2890625 2909125 4278125 4515625 6640625 6683125 9765625 9828125 9891025 14453125 14545625 21390625 22578125 33203125 33415625 48828125 49140625 49455125 72265625 72728125 106953125 112890625 166015625 167078125 244140625 245703125 247275625 361328125 363640625 534765625 564453125 830078125 835390625 1228515625 1236378125 1806640625 1818203125 2673828125 2822265625 4150390625 4176953125 6142578125 6181890625 9033203125 9091015625 13369140625 14111328125 20884765625 30712890625 30909453125 45455078125 66845703125 70556640625 104423828125 153564453125 154547265625 227275390625 334228515625 522119140625 772736328125 1136376953125 2610595703125 3863681640625 5681884765625 19318408203125 96592041015625