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3999541968 = 243353307569
BaseRepresentation
bin1110111001100100…
…0010101011010000
3101022201211210011000
43232121002223100
531142340320333
61500512022000
7201053355132
oct35631025320
911281753130
103999541968
111772701094
12937531900
134b97c10a6
1429d275052
151861d4713
hexee642ad0

3999541968 has 160 divisors (see below), whose sum is σ = 11755497600. Its totient is φ = 1301474304.

The previous prime is 3999541963. The next prime is 3999541993. The reversal of 3999541968 is 8691459993.

3999541968 is a `hidden beast` number, since 399 + 9 + 54 + 196 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3999541963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7028788 + ... + 7029356.

It is an arithmetic number, because the mean of its divisors is an integer number (73471860).

Almost surely, 23999541968 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 3999541968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877748800).

3999541968 is an abundant number, since it is smaller than the sum of its proper divisors (7755955632).

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

3999541968 is a wasteful number, since it uses less digits than its factorization.

3999541968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 934 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 63.

The square root of 3999541968 is about 63241.9320387984. The cubic root of 3999541968 is about 1587.3404596155.

The spelling of 3999541968 in words is "three billion, nine hundred ninety-nine million, five hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 307 318 424 432 477 569 614 636 848 921 954 1138 1228 1272 1431 1707 1842 1908 2276 2456 2544 2763 2862 3414 3684 3816 4552 4912 5121 5526 5724 6828 7368 7632 8289 9104 10242 11052 11448 13656 14736 15363 16271 16578 20484 22104 22896 27312 30157 30726 32542 33156 40968 44208 48813 60314 61452 65084 66312 81936 90471 97626 120628 122904 130168 132624 146439 174683 180942 195252 241256 245808 260336 271413 292878 349366 361884 390504 439317 482512 524049 542826 585756 698732 723768 781008 814239 878634 1048098 1085652 1171512 1397464 1447536 1572147 1628478 1757268 2096196 2171304 2343024 2794928 3144294 3256956 3514536 4192392 4342608 4716441 6288588 6513912 7029072 8384784 9258199 9432882 12577176 13027824 18516398 18865764 25154352 27774597 37032796 37731528 55549194 74065592 75463056 83323791 111098388 148131184 166647582 222196776 249971373 333295164 444393552 499942746 666590328 999885492 1333180656 1999770984 3999541968