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98291655225 = 345269672
BaseRepresentation
bin101101110001010100…
…0111010001000111001
3100101201010002102210000
41123202220322020321
53102300130431400
6113053215143213
710046521166331
oct1334250721071
9311633072700
1098291655225
113875a093415
1217071814b09
139365900b4a
144a862060c1
152854288600
hex16e2a3a239

98291655225 has 45 divisors (see below), whose sum is σ = 182096259807. Its totient is φ = 52414691760.

The previous prime is 98291655199. The next prime is 98291655257. The reversal of 98291655225 is 52255619289.

The square root of 98291655225 is 313515.

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

98291655225 is a `hidden beast` number, since 9 + 82 + 9 + 1 + 6 + 552 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35384995881 + 62906659344 = 188109^2 + 250812^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 98291655225 - 225 = 98258100793 is a prime.

It is a super-2 number, since 2×982916552252 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14104692 + ... + 14111658.

Almost surely, 298291655225 is an apocalyptic number.

98291655225 is the 313515-th square number.

98291655225 is the 156758-th centered octagonal number.

It is an amenable number.

98291655225 is a deficient number, since it is larger than the sum of its proper divisors (83804604582).

98291655225 is an frugal number, since it uses more digits than its factorization.

98291655225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13956 (or 6975 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The spelling of 98291655225 in words is "ninety-eight billion, two hundred ninety-one million, six hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 6967 20901 34835 62703 104505 174175 188109 313515 522525 564327 940545 1567575 2821635 4702725 14108175 48539089 145617267 242695445 436851801 728086335 1213477225 1310555403 2184259005 3640431675 3931666209 6552777015 10921295025 19658331045 32763885075 98291655225