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4095682512 = 2431011316449
BaseRepresentation
bin1111010000011111…
…0010011111010000
3101120102202020011220
43310013302133100
531341443320022
61514224405040
7203331504225
oct36407623720
911512666156
104095682512
1118119a6989
12963776780
135036b2c9c
142abd3d94c
1518e87585c
hexf41f27d0

4095682512 has 80 divisors (see below), whose sum is σ = 10768507200. Its totient is φ = 1341184000.

The previous prime is 4095682511. The next prime is 4095682531. The reversal of 4095682512 is 2152865904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4095682511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631864 + ... + 638312.

It is an arithmetic number, because the mean of its divisors is an integer number (134606340).

Almost surely, 24095682512 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 4095682512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384253600).

4095682512 is an abundant number, since it is smaller than the sum of its proper divisors (6672824688).

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

4095682512 is a wasteful number, since it uses less digits than its factorization.

4095682512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6692 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 4095682512 is about 63997.5195769336. The cubic root of 4095682512 is about 1599.9586593485.

The spelling of 4095682512 in words is "four billion, ninety-five million, six hundred eighty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 131 202 262 303 393 404 524 606 786 808 1048 1212 1572 1616 2096 2424 3144 4848 6288 6449 12898 13231 19347 25796 26462 38694 39693 51592 52924 77388 79386 103184 105848 154776 158772 211696 309552 317544 635088 651349 844819 1302698 1689638 1954047 2534457 2605396 3379276 3908094 5068914 5210792 6758552 7816188 10137828 10421584 13517104 15632376 20275656 31264752 40551312 85326719 170653438 255980157 341306876 511960314 682613752 1023920628 1365227504 2047841256 4095682512