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4027121364 = 2237172198731
BaseRepresentation
bin1111000000001000…
…1111111011010100
3101101122201221222010
43300002033323110
531221420340424
61503335104220
7201536652420
oct36002177324
911348657863
104027121364
111787228982
12944812070
134c2429366
142a2bb3b80
15188831229
hexf008fed4

4027121364 has 144 divisors (see below), whose sum is σ = 12009643520. Its totient is φ = 1025809920.

The previous prime is 4027121321. The next prime is 4027121369. The reversal of 4027121364 is 4631217204.

4027121364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4027121369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456879 + ... + 465609.

Almost surely, 24027121364 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 4027121364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004821760).

4027121364 is an abundant number, since it is smaller than the sum of its proper divisors (7982522156).

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

4027121364 is a wasteful number, since it uses less digits than its factorization.

4027121364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8798 (or 8779 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4027121364 is about 63459.6041903824. The cubic root of 4027121364 is about 1590.9806805617.

Adding to 4027121364 its reverse (4631217204), we get a palindrome (8658338568).

The spelling of 4027121364 in words is "four billion, twenty-seven million, one hundred twenty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 51 57 68 76 84 102 114 119 133 204 228 238 266 289 323 357 399 476 532 578 646 714 798 867 969 1156 1292 1428 1596 1734 1938 2023 2261 3468 3876 4046 4522 5491 6069 6783 8092 8731 9044 10982 12138 13566 16473 17462 21964 24276 26193 27132 32946 34924 38437 52386 61117 65892 76874 104772 115311 122234 148427 153748 165889 183351 230622 244468 296854 331778 366702 445281 461244 497667 593708 663556 733404 890562 995334 1038989 1161223 1781124 1990668 2077978 2322446 2523259 2820113 3116967 3483669 4155956 4644892 5046518 5640226 6233934 6967338 7569777 8460339 10093036 11280452 12467868 13934676 15139554 16920678 17662813 19740791 30279108 33841356 35325626 39481582 47941921 52988439 59222373 70651252 78963164 95883842 105976878 118444746 143825763 191767684 211953756 236889492 287651526 335593447 575303052 671186894 1006780341 1342373788 2013560682 4027121364