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96518955625 = 54174432
BaseRepresentation
bin101100111100011111…
…0100110001001101001
3100020010120102222002021
41121320332212021221
53040132323040000
6112201252104441
76654554405041
oct1317076461151
9306116388067
1096518955625
1137a2a485a24
1216858005121
13914257c081
1449589d8721
15279d82411a
hex1678fa6269

96518955625 has 75 divisors (see below), whose sum is σ = 131197622853. Its totient is φ = 70983024000.

The previous prime is 96518955623. The next prime is 96518955641. The reversal of 96518955625 is 52655981569.

The square root of 96518955625 is 310675.

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

It can be written as a sum of positive squares in 12 ways, for example, as 87699491881 + 8819463744 = 296141^2 + 93912^2 .

It is not a de Polignac number, because 96518955625 - 21 = 96518955623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96518955623) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2244626854 + ... + 2244626896.

Almost surely, 296518955625 is an apocalyptic number.

96518955625 is the 310675-th square number.

96518955625 is the 155338-th centered octagonal number.

It is an amenable number.

96518955625 is a deficient number, since it is larger than the sum of its proper divisors (34678667228).

96518955625 is an frugal number, since it uses more digits than its factorization.

96518955625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 65 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 61.

The spelling of 96518955625 in words is "ninety-six billion, five hundred eighteen million, nine hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 17 25 43 85 125 215 289 425 625 731 1075 1445 1849 2125 3655 4913 5375 7225 9245 10625 12427 18275 24565 26875 31433 36125 46225 62135 83521 91375 122825 157165 180625 211259 231125 310675 417605 456875 534361 614125 785825 1056295 1155625 1553375 2088025 2671805 3070625 3591403 3929125 5281475 7766875 9084137 10440125 13359025 17957015 19645625 26407375 45420685 52200625 66795125 89785075 132036875 154430329 227103425 333975625 448925375 772151645 1135517125 2244626875 3860758225 5677585625 19303791125 96518955625