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4066206087216 = 2437131153807379
BaseRepresentation
bin111011001010111100110…
…001001111100000110000
3112101201120220010101212110
4323022330301033200300
51013110042224242331
612351553404125320
7566526243315420
oct73127461174060
915351526111773
104066206087216
11132851736a929
12558084236840
1323659822a580
14100b3c12a480
1570b884a3946
hex3b2bcc4f830

4066206087216 has 160 divisors (see below), whose sum is σ = 12939679029760. Its totient is φ = 1071474573312.

The previous prime is 4066206087179. The next prime is 4066206087221. The reversal of 4066206087216 is 6127806026604.

4066206087216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 4632615 + ... + 5439993.

It is an arithmetic number, because the mean of its divisors is an integer number (80872993936).

Almost surely, 24066206087216 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 4066206087216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469839514880).

4066206087216 is an abundant number, since it is smaller than the sum of its proper divisors (8873472942544).

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

4066206087216 is a wasteful number, since it uses less digits than its factorization.

4066206087216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808563 (or 808557 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 4066206087216 in words is "four trillion, sixty-six billion, two hundred six million, eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1153 1456 2184 2306 3459 4368 4612 6918 8071 9224 13836 14989 16142 18448 24213 27672 29978 32284 44967 48426 55344 59956 64568 89934 96852 104923 119912 129136 179868 193704 209846 239824 314769 359736 387408 419692 629538 719472 807379 839384 1259076 1614758 1678768 2422137 2518152 3229516 4844274 5036304 5651653 6459032 9688548 10495927 11303306 12918064 16954959 19377096 20991854 22606612 31487781 33909918 38754192 41983708 45213224 62975562 67819836 73471489 83967416 90426448 125951124 135639672 146942978 167934832 220414467 251902248 271279344 293885956 440828934 503804496 587771912 881657868 930907987 1175543824 1763315736 1861815974 2792723961 3526631472 3723631948 5585447922 6516355909 7447263896 11170895844 12101803831 13032711818 14894527792 19549067727 22341791688 24203607662 26065423636 36305411493 39098135454 44683583376 48407215324 52130847272 72610822986 78196270908 84712626817 96814430648 104261694544 145221645972 156392541816 169425253634 193628861296 254137880451 290443291944 312785083632 338850507268 508275760902 580886583888 677701014536 1016551521804 1355402029072 2033103043608 4066206087216