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94288914225 = 325211218612
BaseRepresentation
bin101011111010000001…
…1101010011100110001
3100000101011020010101100
41113310003222130301
53021100430223400
6111152110355013
76545365355442
oct1276403523461
9300334203340
1094288914225
1136a956a7900
12163351bba69
138b7855c94c
1447c677b2c9
1526bcb71100
hex15f40ea731

94288914225 has 81 divisors (see below), whose sum is σ = 185730343617. Its totient is φ = 45691272000.

The previous prime is 94288914191. The next prime is 94288914229. The reversal of 94288914225 is 52241988249.

The square root of 94288914225 is 307065.

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 57351149361 + 36937764864 = 239481^2 + 192192^2 .

It is not a de Polignac number, because 94288914225 - 227 = 94154696497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (94288914229) 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 80 ways as a sum of consecutive naturals, for example, 50664795 + ... + 50666655.

Almost surely, 294288914225 is an apocalyptic number.

94288914225 is the 307065-th square number.

94288914225 is the 153533-rd centered octagonal number.

It is an amenable number.

94288914225 is a deficient number, since it is larger than the sum of its proper divisors (91441429392).

94288914225 is a wasteful number, since it uses less digits than its factorization.

94288914225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 1880 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 94288914225 in words is "ninety-four billion, two hundred eighty-eight million, nine hundred fourteen thousand, two hundred 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 1861 2475 3025 5445 5583 9075 9305 16749 20471 27225 27915 46525 61413 83745 102355 139575 184239 225181 307065 418725 511775 675543 921195 1125905 1535325 2026629 3377715 3463321 4605975 5629525 10133145 10389963 16888575 17316605 31169889 38096531 50665725 51949815 86583025 114289593 155849445 190482655 259749075 342868779 419061841 571447965 779247225 952413275 1257185523 1714343895 2095309205 2857239825 3771556569 6285927615 8571719475 10476546025 18857782845 31429638075 94288914225