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239013300603025 = 521321748232
BaseRepresentation
bin110110010110000110011110…
…111000010000100010010001
31011100021110002212120021200201
4312112012132320100202101
5222311443214423244100
62204201110001215201
7101226066255030514
oct6626063670204221
91140243085507621
10239013300603025
116a17aa76143433
1222982466931501
13a349b1c00bc00
14430443c310d7b
151c9744007436a
hexd9619ee10891

239013300603025 has 135 divisors (see below), whose sum is σ = 341401000291029. Its totient is φ = 165917804981760.

The previous prime is 239013300603001. The next prime is 239013300603031. The reversal of 239013300603025 is 520306003310932.

The square root of 239013300603025 is 15460055.

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

It can be written as a sum of positive squares in 22 ways, for example, as 238199682170961 + 813618432064 = 15433719^2 + 902008^2 .

It is not a de Polignac number, because 239013300603025 - 27 = 239013300602897 is a prime.

It is a Duffinian number.

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, 290417132764 + ... + 290417133586.

Almost surely, 2239013300603025 is an apocalyptic number.

239013300603025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

239013300603025 is the 15460055-th square number.

239013300603025 is the 7730028-th centered octagonal number.

It is an amenable number.

239013300603025 is a deficient number, since it is larger than the sum of its proper divisors (102387699688004).

239013300603025 is an frugal number, since it uses more digits than its factorization.

239013300603025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 37.

Adding to 239013300603025 its reverse (520306003310932), we get a palindrome (759319303913957).

The spelling of 239013300603025 in words is "two hundred thirty-nine trillion, thirteen billion, three hundred million, six hundred three thousand, twenty-five".

Divisors: 1 5 13 17 25 65 85 169 221 289 325 425 823 845 1105 1445 2873 3757 4115 4225 4913 5525 7225 10699 13991 14365 18785 20575 24565 48841 53495 63869 69955 71825 83521 93925 122825 139087 181883 237847 244205 267475 319345 349775 417605 677329 695435 830297 909415 1085773 1189235 1221025 1596725 2088025 2364479 3092011 3386645 3477175 4043399 4151485 4547075 5428865 5946175 8805277 11514593 11822395 14115049 15460055 16933225 20216995 20757425 27144325 40196143 44026385 52564187 57572965 59111975 68737783 70575245 77300275 101084975 114468601 149689709 195748081 200980715 220131925 262820935 287864825 343688915 352876225 572343005 683334431 748448545 893591179 978740405 1004903575 1314104675 1718444575 1945966217 2544725053 2861715025 3327717377 3416672155 3742242725 4467955895 4893702025 9729831085 11616685327 12723625265 16638586885 17083360775 22339779475 33081425689 43260325901 48649155425 56571195409 58083426635 63618126325 83192934425 165407128445 216301629505 282855977045 290417133175 562384236713 735425540317 827035642225 1081508147525 1414279885225 2811921183565 3677127701585 9560532024121 14059605917825 18385638507925 47802660120605 239013300603025