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2441666443552 = 257172659241141
BaseRepresentation
bin100011100001111110101…
…010010011100100100000
322122102100221011212020221
4203201332222103210200
5310001013102143202
65105404105412424
7341255525221630
oct43417652234440
98572327155227
102441666443552
118615610649a6
1233526519a114
1314932c28282b
148626a68c6c0
15437a7834037
hex2387ea93920

2441666443552 has 96 divisors (see below), whose sum is σ = 5819122995840. Its totient is φ = 984499384320.

The previous prime is 2441666443529. The next prime is 2441666443577. The reversal of 2441666443552 is 2553446661442.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2441666443552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10004902 + ... + 10246042.

It is an arithmetic number, because the mean of its divisors is an integer number (60615864540).

Almost surely, 22441666443552 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 2441666443552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909561497920).

2441666443552 is an abundant number, since it is smaller than the sum of its proper divisors (3377456552288).

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

2441666443552 is a wasteful number, since it uses less digits than its factorization.

2441666443552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243834 (or 243826 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 52.

The spelling of 2441666443552 in words is "two trillion, four hundred forty-one billion, six hundred sixty-six million, four hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 2659 3808 5318 10636 18613 21272 37226 42544 45203 74452 85088 90406 148904 180812 241141 297808 316421 361624 482282 595616 632842 723248 964564 1265684 1446496 1687987 1929128 2531368 3375974 3858256 4099397 5062736 6751948 7716512 8198794 10125472 13503896 16397588 27007792 28695779 32795176 54015584 57391558 65590352 114783116 131180704 229566232 459132464 641193919 918264928 1282387838 2564775676 4488357433 5129551352 8976714866 10259102704 10900296623 17953429732 20518205408 21800593246 35906859464 43601186492 71813718928 76302076361 87202372984 143627437856 152604152722 174404745968 305208305444 348809491936 610416610888 1220833221776 2441666443552