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12385747441 = 411216124841
BaseRepresentation
bin10111000100011111…
…11000000111110001
31011222011222011100201
423202033320013301
5200331222404231
65405005315201
7615634054564
oct134217700761
934864864321
1012385747441
115286482411
122497b65b01
131225055a52
14856d524db
154c756b161
hex2e23f81f1

12385747441 has 8 divisors (see below), whose sum is σ = 12689392968. Its totient is φ = 12082176000.

The previous prime is 12385747399. The next prime is 12385747453. The reversal of 12385747441 is 14474758321.

It can be written as a sum of positive squares in 4 ways, for example, as 1023040225 + 11362707216 = 31985^2 + 106596^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12385747441 - 27 = 12385747313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12385747391 and 12385747400.

It is not an unprimeable number, because it can be changed into a prime (12385747481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486181 + ... + 511021.

It is an arithmetic number, because the mean of its divisors is an integer number (1586174121).

Almost surely, 212385747441 is an apocalyptic number.

It is an amenable number.

12385747441 is a deficient number, since it is larger than the sum of its proper divisors (303645527).

12385747441 is a wasteful number, since it uses less digits than its factorization.

12385747441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37043.

The product of its digits is 752640, while the sum is 46.

The spelling of 12385747441 in words is "twelve billion, three hundred eighty-five million, seven hundred forty-seven thousand, four hundred forty-one".

Divisors: 1 41 12161 24841 498601 1018481 302091401 12385747441