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4066401285 = 34531419773
BaseRepresentation
bin1111001001100000…
…0101110000000101
3101111101122120220000
43302120011300011
531311444320120
61511301031513
7202524561222
oct36230056005
911441576800
104066401285
1117a7417521
129559b5599
134ca60020b
142a80ba949
1518bede990
hexf2605c05

4066401285 has 80 divisors (see below), whose sum is σ = 7552258560. Its totient is φ = 2091070080.

The previous prime is 4066401281. The next prime is 4066401293. The reversal of 4066401285 is 5821046604.

4066401285 is a `hidden beast` number, since 4 + 0 + 6 + 640 + 1 + 2 + 8 + 5 = 666.

It is not a de Polignac number, because 4066401285 - 22 = 4066401281 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066401281) 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 79 ways as a sum of consecutive naturals, for example, 5260159 + ... + 5260931.

It is an arithmetic number, because the mean of its divisors is an integer number (94403232).

Almost surely, 24066401285 is an apocalyptic number.

4066401285 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4066401285 is a deficient number, since it is larger than the sum of its proper divisors (3485857275).

4066401285 is a wasteful number, since it uses less digits than its factorization.

4066401285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4066401285 is about 63768.3407734591. The cubic root of 4066401285 is about 1596.1366798825.

Adding to 4066401285 its reverse (5821046604), we get a palindrome (9887447889).

The spelling of 4066401285 in words is "four billion, sixty-six million, four hundred one thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 155 279 405 419 465 773 837 1257 1395 2095 2319 2511 3771 3865 4185 6285 6957 11313 11595 12555 12989 18855 20871 23963 33939 34785 38967 56565 62613 64945 71889 104355 116901 119815 169695 194835 215667 313065 323887 350703 359445 584505 647001 971661 1052109 1078335 1619435 1753515 1941003 2914983 3235005 4858305 5260545 8744949 9705015 10040497 14574915 26234847 30121491 43724745 50202485 90364473 131174235 150607455 271093419 451822365 813280257 1355467095 4066401285