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4112810672 = 2431109127599
BaseRepresentation
bin1111010100100100…
…1000001010110000
3101121121222102121012
43311021020022300
531410334420142
61520035450052
7203630212445
oct36511101260
911547872535
104112810672
111820635593
12969456928
135070cc1a9
142b031b9cc
1519110a882
hexf52482b0

4112810672 has 80 divisors (see below), whose sum is σ = 8380416000. Its totient is φ = 1953020160.

The previous prime is 4112810657. The next prime is 4112810677. The reversal of 4112810672 is 2760182114.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4112810677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6865829 + ... + 6866427.

It is an arithmetic number, because the mean of its divisors is an integer number (104755200).

Almost surely, 24112810672 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 4112810672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190208000).

4112810672 is an abundant number, since it is smaller than the sum of its proper divisors (4267605328).

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

4112810672 is a wasteful number, since it uses less digits than its factorization.

4112810672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 4112810672 is about 64131.1988972606. The cubic root of 4112810672 is about 1602.1859018690.

Adding to 4112810672 its reverse (2760182114), we get a palindrome (6872992786).

The spelling of 4112810672 in words is "four billion, one hundred twelve million, eight hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 62 109 124 127 218 248 254 436 496 508 599 872 1016 1198 1744 2032 2396 3379 3937 4792 6758 7874 9584 13516 13843 15748 18569 27032 27686 31496 37138 54064 55372 62992 65291 74276 76073 110744 130582 148552 152146 221488 261164 297104 304292 429133 522328 608584 858266 1044656 1217168 1716532 2024021 2358263 3433064 4048042 4716526 6866128 8096084 8291957 9433052 16192168 16583914 18866104 32384336 33167828 37732208 66335656 132671312 257050667 514101334 1028202668 2056405336 4112810672