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4416108254082 = 2337359122926479
BaseRepresentation
bin100000001000011010010…
…0100000101001110000010
3120122011202011210011102000
41000100310210011032002
51034323142203112312
613220422050004430
7634024164545040
oct100206444051602
916564664704360
104416108254082
111452951a88748
125b3a55876716
1326058b763765
14113a529b3390
1579d16b2eadc
hex40434905382

4416108254082 has 128 divisors (see below), whose sum is σ = 11256330240000. Its totient is φ = 1257159341376.

The previous prime is 4416108254071. The next prime is 4416108254153. The reversal of 4416108254082 is 2804528016144.

4416108254082 is a `hidden beast` number, since 4 + 4 + 1 + 610 + 8 + 25 + 4 + 0 + 8 + 2 = 666.

It is a super-2 number, since 2×44161082540822 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 166764519 + ... + 166790997.

It is an arithmetic number, because the mean of its divisors is an integer number (87940080000).

Almost surely, 24416108254082 is an apocalyptic number.

4416108254082 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4416108254082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628165120000).

4416108254082 is an abundant number, since it is smaller than the sum of its proper divisors (6840221985918).

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

4416108254082 is a wasteful number, since it uses less digits than its factorization.

4416108254082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28085 (or 28079 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 4416108254082 in words is "four trillion, four hundred sixteen billion, one hundred eight million, two hundred fifty-four thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 359 378 718 1077 1229 2154 2458 2513 3231 3687 5026 6462 7374 7539 8603 9693 11061 15078 17206 19386 22122 22617 25809 26479 33183 45234 51618 52958 66366 67851 77427 79437 135702 154854 158874 185353 232281 238311 370706 441211 464562 476622 556059 714933 882422 1112118 1323633 1429866 1668177 2647266 3088477 3336354 3970899 5004531 6176954 7941798 9265431 9505961 10009062 11912697 18530862 19011922 23825394 27796293 28517883 32542691 55592586 57035766 65085382 66541727 83388879 85553649 97628073 133083454 166777758 171107298 195256146 199625181 227798837 256660947 292884219 399250362 455597674 513321894 585768438 598875543 683396511 878652657 1197751086 1366793022 1757305314 1796626629 2050189533 3593253258 4100379066 6150568599 11682826069 12301137198 23365652138 35048478207 70096956414 81779782483 105145434621 163559564966 210290869242 245339347449 315436303863 490678694898 630872607726 736018042347 1472036084694 2208054127041 4416108254082