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498330105625 = 541121721512
BaseRepresentation
bin1110100000001101100…
…10011111011100011001
31202122021111000021210201
413100012302133130121
531131040001340000
61020532451342201
751001041002542
oct7200662373431
91678244007721
10498330105625
11182382398100
12806b58b1961
1337cb91b25b1
141a1955374c9
15ce6922996a
hex7406c9f719

498330105625 has 135 divisors (see below), whose sum is σ = 731948469483. Its totient is φ = 338844000000.

The previous prime is 498330105617. The next prime is 498330105653. The reversal of 498330105625 is 526501033894.

The square root of 498330105625 is 705925.

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

It can be written as a sum of positive squares in 7 ways, for example, as 243361662489 + 254968443136 = 493317^2 + 504944^2 .

It is not a de Polignac number, because 498330105625 - 23 = 498330105617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3300199300 + ... + 3300199450.

Almost surely, 2498330105625 is an apocalyptic number.

498330105625 is the 705925-th square number.

498330105625 is the 352963-rd centered octagonal number.

It is an amenable number.

498330105625 is a deficient number, since it is larger than the sum of its proper divisors (233618363858).

498330105625 is an equidigital number, since it uses as much as digits as its factorization.

498330105625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 498330105625 in words is "four hundred ninety-eight billion, three hundred thirty million, one hundred five thousand, six hundred twenty-five".

Divisors: 1 5 11 17 25 55 85 121 125 151 187 275 289 425 605 625 755 935 1375 1445 1661 2057 2125 2567 3025 3179 3775 4675 6875 7225 8305 10285 10625 12835 15125 15895 18271 18875 22801 23375 28237 34969 36125 41525 43639 51425 64175 75625 79475 91355 94375 114005 116875 141185 174845 180625 207625 218195 250811 257125 310607 320875 387617 397375 456775 480029 570025 705925 874225 1038125 1090975 1254055 1285625 1553035 1604375 1938085 1986875 2283875 2400145 2758921 2850125 3529625 4263787 4371125 5280319 5454875 6270275 6589489 7765175 9690425 11419375 12000725 13794605 14250625 17648125 21318935 21855625 26401595 27274375 31351375 32947445 38825875 46901657 48452125 60003625 68973025 72484379 106594675 132007975 156756875 164737225 194129375 234508285 242260625 300018125 344865125 362421895 532973375 660039875 797328169 823686125 1172541425 1724325625 1812109475 2664866875 3300199375 3986640845 4118430625 5862707125 9060547375 19933204225 29313535625 45302736875 99666021125 498330105625