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90389799096025 = 52112132132972
BaseRepresentation
bin10100100011010110000011…
…110111011100111011011001
3102212001011212111212000212211
4110203112003313130323121
543321421302032033100
6520124300033035121
725016306325233062
oct2443260367347331
9385034774760784
1090389799096025
112688a10a150400
12a17a1949b5aa1
133b5894c128a00
141846c65187569
15a6b3a59301ba
hex523583ddced9

90389799096025 has 81 divisors (see below), whose sum is σ = 133414927443063. Its totient is φ = 60676700198400.

The previous prime is 90389799096017. The next prime is 90389799096061. The reversal of 90389799096025 is 52069099798309.

The square root of 90389799096025 is 9507355.

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

It can be written as a sum of positive squares in 13 ways, for example, as 71764567131609 + 18625231964416 = 8471397^2 + 4315696^2 .

It is not a de Polignac number, because 90389799096025 - 23 = 90389799096017 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, 6797752177 + ... + 6797765473.

Almost surely, 290389799096025 is an apocalyptic number.

90389799096025 is the 9507355-th square number.

90389799096025 is the 4753678-th centered octagonal number.

It is an amenable number.

90389799096025 is a deficient number, since it is larger than the sum of its proper divisors (43025128347038).

90389799096025 is an equidigital number, since it uses as much as digits as its factorization.

90389799096025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26652 (or 13326 counting only the distinct ones).

The product of its (nonzero) digits is 595213920, while the sum is 76.

The spelling of 90389799096025 in words is "ninety trillion, three hundred eighty-nine billion, seven hundred ninety-nine million, ninety-six thousand, twenty-five".

Divisors: 1 5 11 13 25 55 65 121 143 169 275 325 605 715 845 1573 1859 3025 3575 4225 7865 9295 13297 20449 39325 46475 66485 102245 146267 172861 332425 511225 731335 864305 1608937 1901471 2247193 3656675 4321525 8044685 9507355 11235965 20916181 24719123 40223425 47536775 56179825 104580905 123595615 176810209 271910353 522904525 617978075 884051045 1359551765 1944912299 2298532717 4420255225 6797758825 9724561495 11492663585 21394035289 25283859887 29880925321 48622807475 57463317925 106970176445 126419299435 149404626605 278122458757 328690178531 534850882225 632096497175 747023133025 1390612293785 1643450892655 3615591963841 6953061468925 8217254463275 18077959819205 90389799096025