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94166128225 = 5213247212
BaseRepresentation
bin101011110110010111…
…1010001011001100001
3100000001121011221122201
41113230233101121201
53020323012100400
6111132002533201
76542344611661
oct1275457213141
9300047157581
1094166128225
1136a32362974
1216300067201
138b58c9b900
1447b43381a1
1526b1eba06a
hex15ecbd1661

94166128225 has 27 divisors (see below), whose sum is σ = 126465709899. Its totient is φ = 69523334400.

The previous prime is 94166128223. The next prime is 94166128321. The reversal of 94166128225 is 52282166149.

The square root of 94166128225 is 306865.

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 86284950049 + 7881178176 = 293743^2 + 88776^2 .

It is not a de Polignac number, because 94166128225 - 21 = 94166128223 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (94166128223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19943865 + ... + 19948585.

Almost surely, 294166128225 is an apocalyptic number.

94166128225 is the 306865-th square number.

94166128225 is the 153433-rd centered octagonal number.

It is an amenable number.

94166128225 is a deficient number, since it is larger than the sum of its proper divisors (32299581674).

94166128225 is an frugal number, since it uses more digits than its factorization.

94166128225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9478 (or 4739 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The spelling of 94166128225 in words is "ninety-four billion, one hundred sixty-six million, one hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 4721 23605 61373 118025 306865 797849 1534325 3989245 19946225 22287841 111439205 289741933 557196025 1448709665 3766645129 7243548325 18833225645 94166128225