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4066240068 = 2233114916971
BaseRepresentation
bin1111001001011101…
…1110011001000100
3101111101100101202000
43302113132121010
531311424140233
61511253345300
7202523320212
oct36227363104
911441311660
104066240068
1117a7317390
12955938230
134ca574a17
142a8077cb2
1518beabd13
hexf25de644

4066240068 has 96 divisors (see below), whose sum is σ = 11525552640. Its totient is φ = 1229508000.

The previous prime is 4066240063. The next prime is 4066240069. The reversal of 4066240068 is 8600426604.

It is a happy number.

4066240068 is a `hidden beast` number, since 406 + 6 + 240 + 0 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4066240063) 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 31 ways as a sum of consecutive naturals, for example, 579823 + ... + 586793.

It is an arithmetic number, because the mean of its divisors is an integer number (120057840).

Almost surely, 24066240068 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 4066240068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762776320).

4066240068 is an abundant number, since it is smaller than the sum of its proper divisors (7459312572).

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

4066240068 is a wasteful number, since it uses less digits than its factorization.

4066240068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4066240068 is about 63767.0766775458. The cubic root of 4066240068 is about 1596.1155860660.

The spelling of 4066240068 in words is "four billion, sixty-six million, two hundred forty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 491 594 982 1188 1473 1964 2946 4419 5401 5892 6971 8838 10802 13257 13942 16203 17676 20913 21604 26514 27884 32406 41826 48609 53028 62739 64812 76681 83652 97218 125478 145827 153362 188217 194436 230043 250956 291654 306724 376434 460086 583308 690129 752868 920172 1380258 2070387 2760516 3422761 4140774 6845522 8281548 10268283 13691044 20536566 30804849 37650371 41073132 61609698 75300742 92414547 112951113 123219396 150601484 184829094 225902226 338853339 369658188 451804452 677706678 1016560017 1355413356 2033120034 4066240068