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98203890625 = 562321092
BaseRepresentation
bin101101101110101101…
…0000111001111000001
3100101110222221112101021
41123131122013033001
53102110144000000
6113040402105441
710044404204011
oct1333532071701
9311428845337
1098203890625
1138714599595
121704834b281
139350682529
144a786bbc41
15284b6ee11a
hex16dd6873c1

98203890625 has 63 divisors (see below), whose sum is σ = 129510510213. Its totient is φ = 74457900000.

The previous prime is 98203890623. The next prime is 98203890643. The reversal of 98203890625 is 52609830289.

It is a happy number.

The square root of 98203890625 is 313375.

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

It can be written as a sum of positive squares in 10 ways, for example, as 93391971201 + 4811919424 = 305601^2 + 69368^2 .

It is not a de Polignac number, because 98203890625 - 21 = 98203890623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98203890623) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 900953071 + ... + 900953179.

Almost surely, 298203890625 is an apocalyptic number.

98203890625 is the 313375-th square number.

98203890625 is the 156688-th centered octagonal number.

It is an amenable number.

98203890625 is a deficient number, since it is larger than the sum of its proper divisors (31306619588).

98203890625 is an frugal number, since it uses more digits than its factorization.

98203890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 98203890625 in words is "ninety-eight billion, two hundred three million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 23 25 109 115 125 529 545 575 625 2507 2645 2725 2875 3125 11881 12535 13225 13625 14375 15625 57661 59405 62675 66125 68125 71875 273263 288305 297025 313375 330625 340625 359375 1366315 1441525 1485125 1566875 1653125 1703125 6285049 6831575 7207625 7425625 7834375 8265625 31425245 34157875 36038125 37128125 39171875 157126225 170789375 180190625 185640625 785631125 853946875 900953125 3928155625 4269734375 19640778125 98203890625