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159045428025 = 325211224172
BaseRepresentation
bin1001010000011111011…
…0001010001100111001
3120012112011000212102100
42110013312022030321
510101211112144100
6201021531254013
714330202555351
oct2240766121471
9505464025370
10159045428025
11614a5aa8100
12269a7baa309
1311cc8576b33
1479aac2db61
15420cc81400
hex2507d8a339

159045428025 has 81 divisors (see below), whose sum is σ = 313249010893. Its totient is φ = 77081030400.

The previous prime is 159045427999. The next prime is 159045428027. The reversal of 159045428025 is 520824540951.

The square root of 159045428025 is 398805.

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

159045428025 is a `hidden beast` number, since 1 + 5 + 9 + 0 + 4 + 542 + 80 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33992665641 + 125052762384 = 184371^2 + 353628^2 .

It is not a de Polignac number, because 159045428025 - 27 = 159045427897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (159045428027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 65801617 + ... + 65804033.

Almost surely, 2159045428025 is an apocalyptic number.

159045428025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

159045428025 is the 398805-th square number.

159045428025 is the 199403-rd centered octagonal number.

It is an amenable number.

159045428025 is a deficient number, since it is larger than the sum of its proper divisors (154203582868).

159045428025 is an equidigital number, since it uses as much as digits as its factorization.

159045428025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

Adding to 159045428025 its reverse (520824540951), we get a palindrome (679869968976).

The spelling of 159045428025 in words is "one hundred fifty-nine billion, forty-five million, four hundred twenty-eight thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2417 2475 3025 5445 7251 9075 12085 21753 26587 27225 36255 60425 79761 108765 132935 181275 239283 292457 398805 543825 664675 877371 1196415 1462285 1994025 2632113 4386855 5841889 5982075 7311425 13160565 17525667 21934275 29209445 52577001 64260779 65802825 87628335 146047225 192782337 262885005 321303895 438141675 578347011 706868569 963911685 1314425025 1606519475 2120605707 2891735055 3534342845 4819558425 6361817121 10603028535 14458675275 17671714225 31809085605 53015142675 159045428025