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8970893571025 = 5217216722112
BaseRepresentation
bin1000001010001011001011…
…1011001011001111010001
31011202121102222221000222101
42002202302323023033101
52133434342223233100
631025101022440401
71614061051130611
oct202426273131721
934677388830871
108970893571025
112949597606251
12100a752133101
13500c4a97cc59
1423029d202a41
1510854825e86a
hex828b2ecb3d1

8970893571025 has 81 divisors (see below), whose sum is σ = 11944537173777. Its totient is φ = 6682288300800.

The previous prime is 8970893570941. The next prime is 8970893571053. The reversal of 8970893571025 is 5201753980798.

The square root of 8970893571025 is 2995145.

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

It can be written as a sum of positive squares in 4 ways, for example, as 209838202561 + 8761055368464 = 458081^2 + 2959908^2 .

It is not a de Polignac number, because 8970893571025 - 213 = 8970893562833 is a prime.

It is a Duffinian 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, 42516083170 + ... + 42516083380.

Almost surely, 28970893571025 is an apocalyptic number.

8970893571025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8970893571025 is the 2995145-th square number.

8970893571025 is the 1497573-rd centered octagonal number.

It is an amenable number.

8970893571025 is a deficient number, since it is larger than the sum of its proper divisors (2973643602752).

8970893571025 is an equidigital number, since it uses as much as digits as its factorization.

8970893571025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 64.

Multiplying 8970893571025 by its sum of digits (64), we get a square (574137188545600 = 239611602).

The spelling of 8970893571025 in words is "eight trillion, nine hundred seventy billion, eight hundred ninety-three million, five hundred seventy-one thousand, twenty-five".

Divisors: 1 5 17 25 85 167 211 289 425 835 1055 1445 2839 3587 4175 5275 7225 14195 17935 27889 35237 44521 48263 60979 70975 89675 139445 176185 222605 241315 304895 474113 599029 697225 756857 880925 1113025 1206575 1524475 2370565 2995145 3784285 5884579 7435007 8059921 10183493 11852825 12866569 14975725 18921425 29422895 37175035 40299605 50917465 64332845 100037843 126395119 147114475 185875175 201498025 254587325 321664225 500189215 631975595 1241646169 1700643331 2148717023 2500946075 3159877975 6208230845 8503216655 10743585115 21107984873 31041154225 42516083275 53717925575 105539924365 358835742841 527699621825 1794178714205 8970893571025