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6431005112 = 2374779157197
BaseRepresentation
bin1011111110101000…
…10101100110111000
3121121012001220112112
411333110111212320
5101132314130422
62542050431452
7315236433020
oct57724254670
917535056475
106431005112
112800153364
1212b5892588
137b647498c
14450164a80
152798c2ee2
hex17f5159b8

6431005112 has 128 divisors (see below), whose sum is σ = 14415667200. Its totient is φ = 2632960512.

The previous prime is 6431005111. The next prime is 6431005151. The reversal of 6431005112 is 2115001346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6431005111) 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 31 ways as a sum of consecutive naturals, for example, 32644598 + ... + 32644794.

It is an arithmetic number, because the mean of its divisors is an integer number (112622400).

Almost surely, 26431005112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6431005112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207833600).

6431005112 is an abundant number, since it is smaller than the sum of its proper divisors (7984662088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6431005112 is a wasteful number, since it uses less digits than its factorization.

6431005112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 6431005112 is about 80193.5478202580. The cubic root of 6431005112 is about 1859.6288919304.

Adding to 6431005112 its reverse (2115001346), we get a palindrome (8546006458).

The spelling of 6431005112 in words is "six billion, four hundred thirty-one million, five thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 47 56 79 94 157 158 188 197 314 316 329 376 394 553 628 632 658 788 1099 1106 1256 1316 1379 1576 2198 2212 2632 2758 3713 4396 4424 5516 7379 7426 8792 9259 11032 12403 14758 14852 15563 18518 24806 25991 29516 29704 30929 31126 37036 49612 51653 51982 59032 61858 62252 64813 74072 86821 99224 103306 103964 108941 123716 124504 129626 173642 206612 207928 216503 217882 247432 259252 347284 413224 433006 435764 518504 582941 694568 731461 866012 871528 1165882 1453663 1462922 1732024 2331764 2443391 2907326 2925844 4080587 4663528 4886782 5120227 5814652 5851688 8161174 9773564 10175641 10240454 11629304 16322348 17103737 19547128 20351282 20480908 32644696 34207474 40702564 40961816 68414948 81405128 114839377 136829896 229678754 459357508 803875639 918715016 1607751278 3215502556 6431005112