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215040875625 = 38542292
BaseRepresentation
bin1100100001000101101…
…1110101110001101001
3202120001120100100000000
43020101123311301221
512010400431010000
6242442144133213
721351625166232
oct3102133656151
9676046310000
10215040875625
118321aa71724
1235814907209
131738047a494
14a59d906089
1558d8b60000
hex32116f5c69

215040875625 has 135 divisors (see below), whose sum is σ = 404819877891. Its totient is φ = 114187644000.

The previous prime is 215040875611. The next prime is 215040875627. The reversal of 215040875625 is 526578040512.

The square root of 215040875625 is 463725.

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

215040875625 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 4 + 0 + 87 + 562 + 5 = 666.

215040875625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 58538350809 + 156502524816 = 241947^2 + 395604^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 215040875625 - 215 = 215040842857 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (215040875627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 939043011 + ... + 939043239.

Almost surely, 2215040875625 is an apocalyptic number.

215040875625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

215040875625 is the 463725-th square number.

215040875625 is the 231863-rd centered octagonal number.

It is an amenable number.

215040875625 is a deficient number, since it is larger than the sum of its proper divisors (189779002266).

215040875625 is an frugal number, since it uses more digits than its factorization.

215040875625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 215040875625 in words is "two hundred fifteen billion, forty million, eight hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 229 243 375 405 625 675 687 729 1125 1145 1215 1875 2025 2061 2187 3375 3435 3645 5625 5725 6075 6183 6561 10125 10305 10935 16875 17175 18225 18549 28625 30375 30915 32805 50625 51525 52441 54675 55647 85875 91125 92745 143125 151875 154575 157323 164025 166941 257625 262205 273375 278235 429375 455625 463725 471969 500823 772875 786615 820125 834705 1288125 1311025 1366875 1391175 1415907 1502469 2318625 2359845 2504115 3864375 3933075 4100625 4173525 4247721 6555125 6955875 7079535 7512345 11593125 11799225 12520575 12743163 19665375 20867625 21238605 32775625 34779375 35397675 37561725 38229489 58996125 62602875 63715815 98326875 104338125 106193025 114688467 176988375 187808625 191147445 294980625 313014375 318579075 344065401 530965125 573442335 884941875 939043125 955737225 1592895375 1720327005 2654825625 2867211675 4778686125 7964476875 8601635025 14336058375 23893430625 43008175125 71680291875 215040875625