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4393069281225 = 34524729912
BaseRepresentation
bin111111111011010111010…
…101010111111111001001
3120112222021112220002010000
4333323113111113333021
51033434001213444400
613202052000513213
7632250231526002
oct77732725277711
916488245802100
104393069281225
1114440aa09a409
125ab4a601b809
1325b3595aa441
141128a8c5c1a9
15794191c2600
hex3fed7557fc9

4393069281225 has 135 divisors (see below), whose sum is σ = 8322702899511. Its totient is φ = 2290805906400.

The previous prime is 4393069281191. The next prime is 4393069281229. The reversal of 4393069281225 is 5221829603934.

The square root of 4393069281225 is 2095965.

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

4393069281225 is a `hidden beast` number, since 4 + 39 + 306 + 9 + 2 + 81 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1581504941241 + 2811564339984 = 1257579^2 + 1676772^2 .

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

It is not a de Polignac number, because 4393069281225 - 227 = 4392935063497 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4393069281229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4432965480 + ... + 4432966470.

Almost surely, 24393069281225 is an apocalyptic number.

4393069281225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4393069281225 is the 2095965-th square number.

4393069281225 is the 1047983-rd centered octagonal number.

It is an amenable number.

4393069281225 is a deficient number, since it is larger than the sum of its proper divisors (3929633618286).

4393069281225 is an frugal number, since it uses more digits than its factorization.

4393069281225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4393069281225 in words is "four trillion, three hundred ninety-three billion, sixty-nine million, two hundred eighty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 47 75 81 135 141 225 235 405 423 675 705 991 1175 1269 2025 2115 2209 2973 3525 3807 4955 6345 6627 8919 10575 11045 14865 19035 19881 24775 26757 31725 33135 44595 46577 55225 59643 74325 80271 95175 99405 133785 139731 165675 178929 222975 232885 298215 401355 419193 497025 668925 698655 894645 982081 1164425 1257579 1491075 2006775 2095965 2189119 2946243 3493275 3772737 4473225 4910405 6287895 6567357 8838729 10479825 10945595 14731215 18863685 19702071 24552025 26516187 31439475 32836785 44193645 46157807 54727975 59106213 73656075 79548561 94318425 98510355 132580935 138473421 164183925 177318639 220968225 230789035 295531065 397742805 415420263 492551775 662904675 692367105 886593195 1153945175 1246260789 1477655325 1988714025 2077101315 2169416929 3461835525 3738782367 4432965975 6231303945 6508250787 10385506575 10847084645 18693911835 19524752361 31156519725 32541253935 54235423225 58574257083 93469559175 97623761805 162706269675 175722771249 292871285415 488118809025 878613856245 1464356427075 4393069281225