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4069231824 = 2437191016311
BaseRepresentation
bin1111001010001011…
…1000110011010000
3101111120222101122210
43302202320303100
531313210404244
61511441432120
7202560620430
oct36242706320
911446871583
104069231824
1117a8a80109
1295693b640
134cb0816a8
142a86162c0
1518c39d4b9
hexf28b8cd0

4069231824 has 160 divisors (see below), whose sum is σ = 12773468160. Its totient is φ = 1090368000.

The previous prime is 4069231819. The next prime is 4069231841. The reversal of 4069231824 is 4281329604.

It is a super-3 number, since 3×40692318243 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641629 + ... + 647939.

It is an arithmetic number, because the mean of its divisors is an integer number (79834176).

Almost surely, 24069231824 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 4069231824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386734080).

4069231824 is an abundant number, since it is smaller than the sum of its proper divisors (8704236336).

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

4069231824 is a wasteful number, since it uses less digits than its factorization.

4069231824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4069231824 is about 63790.5308333455. The cubic root of 4069231824 is about 1596.5069400488.

The spelling of 4069231824 in words is "four billion, sixty-nine million, two hundred thirty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 101 112 114 133 152 168 202 228 266 303 304 336 399 404 456 532 606 707 798 808 912 1064 1212 1414 1596 1616 1919 2121 2128 2424 2828 3192 3838 4242 4848 5656 5757 6311 6384 7676 8484 11312 11514 12622 13433 15352 16968 18933 23028 25244 26866 30704 33936 37866 40299 44177 46056 50488 53732 75732 80598 88354 92112 100976 107464 119909 132531 151464 161196 176708 214928 239818 265062 302928 322392 353416 359727 479636 530124 637411 644784 706832 719454 839363 959272 1060248 1274822 1438908 1678726 1912233 1918544 2120496 2518089 2549644 2877816 3357452 3824466 4461877 5036178 5099288 5755632 6714904 7648932 8923754 10072356 10198576 12110809 13385631 13429808 15297864 17847508 20144712 24221618 26771262 30595728 35695016 36332427 40289424 48443236 53542524 71390032 72664854 84775663 96886472 107085048 145329708 169551326 193772944 214170096 254326989 290659416 339102652 508653978 581318832 678205304 1017307956 1356410608 2034615912 4069231824