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245225120445 = 32517536048221
BaseRepresentation
bin1110010001100010001…
…1100110001010111101
3212102222011022211202100
43210120203212022331
513004210112323240
6304353241215313
723500623063054
oct3443043461275
9772864284670
10245225120445
1194aaa2075a8
123b639491539
131a180a71586
14bc245d139b
1565a3a2ee30
hex39188e62bd

245225120445 has 48 divisors (see below), whose sum is σ = 458551999152. Its totient is φ = 120770856960.

The previous prime is 245225120443. The next prime is 245225120449. The reversal of 245225120445 is 544021522542.

245225120445 is a `hidden beast` number, since 2 + 4 + 522 + 5 + 120 + 4 + 4 + 5 = 666.

245225120445 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 32617443609 + 212607676836 = 180603^2 + 461094^2 .

It is not a de Polignac number, because 245225120445 - 21 = 245225120443 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245225120443) 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 47 ways as a sum of consecutive naturals, for example, 2983566 + ... + 3064655.

It is an arithmetic number, because the mean of its divisors is an integer number (9553166649).

Almost surely, 2245225120445 is an apocalyptic number.

It is an amenable number.

245225120445 is a deficient number, since it is larger than the sum of its proper divisors (213326878707).

245225120445 is a wasteful number, since it uses less digits than its factorization.

245225120445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6048302 (or 6048299 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 245225120445 its reverse (544021522542), we get a palindrome (789246642987).

The spelling of 245225120445 in words is "two hundred forty-five billion, two hundred twenty-five million, one hundred twenty thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 53 85 153 159 255 265 477 765 795 901 2385 2703 4505 8109 13515 40545 6048221 18144663 30241105 54433989 90723315 102819757 272169945 308459271 320555713 514098785 925377813 961667139 1542296355 1602778565 2885001417 4626889065 4808335695 5449447121 14425007085 16348341363 27247235605 49045024089 81741706815 245225120445