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998270748225 = 385224672
BaseRepresentation
bin11101000011011011001…
…00101100011001000001
310112102201012112100000000
432201231210230121001
5112323424302420400
62042333234350213
7132060036232452
oct16415544543101
93472635470000
10998270748225
113554008a34a3
1214157aa2b369
13731a0c49a3a
1436460909129
151ae79a35600
hexe86d92c641

998270748225 has 81 divisors (see below), whose sum is σ = 1857442172547. Its totient is φ = 532195252560.

The previous prime is 998270748203. The next prime is 998270748247. The reversal of 998270748225 is 522847072899.

The square root of 998270748225 is 999135.

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

998270748225 is a `hidden beast` number, since 9 + 9 + 82 + 70 + 7 + 482 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (998270748203) and next prime (998270748247).

It can be written as a sum of positive squares in only one way, i.e., 359377469361 + 638893278864 = 599481^2 + 799308^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 998270748225 - 223 = 998262359617 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 404648442 + ... + 404650908.

Almost surely, 2998270748225 is an apocalyptic number.

998270748225 is the 999135-th square number.

998270748225 is the 499568-th centered octagonal number.

It is an amenable number.

998270748225 is a deficient number, since it is larger than the sum of its proper divisors (859171424322).

998270748225 is an frugal number, since it uses more digits than its factorization.

998270748225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 998270748225 in words is "nine hundred ninety-eight billion, two hundred seventy million, seven hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 2025 2187 2467 3645 6075 6561 7401 10935 12335 18225 22203 32805 37005 54675 61675 66609 111015 164025 185025 199827 333045 555075 599481 999135 1665225 1798443 2997405 4995675 5395329 6086089 8992215 14987025 16185987 18258267 26976645 30430445 44961075 54774801 80929935 91291335 134883225 152152225 164324403 273874005 404649675 456456675 492973209 821622015 1369370025 1478919627 2464866045 4108110075 4436758881 7394598135 12324330225 13310276643 22183794405 36972990675 39930829929 66551383215 110918972025 199654149645 332756916075 998270748225