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41125000849 = 1727921512
BaseRepresentation
bin100110010011001111…
…011011011010010001
310221011001221111112121
4212103033123122101
51133211000011344
630520443254241
72654054511442
oct462317333221
9127131844477
1041125000849
1116493a99909
127b7881a381
133b5517793a
141dc1b772c9
15110a65a684
hex9933db691

41125000849 has 27 divisors (see below), whose sum is σ = 44541375291. Its totient is φ = 37962849600.

The previous prime is 41125000843. The next prime is 41125000871. The reversal of 41125000849 is 94800052114.

It is a happy number.

The square root of 41125000849 is 202793.

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

It can be written as a sum of positive squares in only one way, i.e., 32017734225 + 9107266624 = 178935^2 + 95432^2 .

It is a de Polignac number, because none of the positive numbers 2k-41125000849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41125000843) 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 26 ways as a sum of consecutive naturals, for example, 272350924 + ... + 272351074.

Almost surely, 241125000849 is an apocalyptic number.

41125000849 is the 202793-rd square number.

41125000849 is the 101397-th centered octagonal number.

It is an amenable number.

41125000849 is a deficient number, since it is larger than the sum of its proper divisors (3416374442).

41125000849 is an frugal number, since it uses more digits than its factorization.

41125000849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 41125000849 in words is "forty-one billion, one hundred twenty-five million, eight hundred forty-nine", and thus it is an aban number.

Divisors: 1 17 79 151 289 1343 2567 6241 11929 22801 22831 43639 106097 202793 387617 942391 1801279 1803649 3447481 6589489 16020647 30621743 142301041 272350999 520569631 2419117697 41125000849