Search a number
-
+
8484040404848 = 24101109181281947
BaseRepresentation
bin111101101110101100000…
…1101101110111101110000
31010001001210100210200100002
41323131120031232331300
52103000303320423343
630013303033445132
71533644300400641
oct173353015567560
933031710720302
108484040404848
1127810746a2678
12b5031bb707a8
134970704648b8
142148b604b6c8
15eaa518d48b8
hex7b75836ef70

8484040404848 has 160 divisors (see below), whose sum is σ = 16923234968640. Its totient is φ = 4119413760000.

The previous prime is 8484040404773. The next prime is 8484040404881.

8484040404848 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8484040404793 and 8484040404802.

It is a congruent number.

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, 8958859511 + ... + 8958860457.

It is an arithmetic number, because the mean of its divisors is an integer number (105770218554).

Almost surely, 28484040404848 is an apocalyptic number.

It is an amenable number.

8484040404848 is a deficient number, since it is larger than the sum of its proper divisors (8439194563792).

8484040404848 is a wasteful number, since it uses less digits than its factorization.

8484040404848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 56.

It can be divided in two parts, 8484040 and 404848, that added together give a palindrome (8888888).

The spelling of 8484040404848 in words is "eight trillion, four hundred eighty-four billion, forty million, four hundred four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 101 109 181 202 218 281 362 404 436 562 724 808 872 947 1124 1448 1616 1744 1894 2248 2896 3788 4496 7576 11009 15152 18281 19729 22018 28381 30629 36562 39458 44036 50861 56762 61258 73124 78916 88072 95647 101722 103223 113524 122516 146248 157832 171407 176144 191294 203444 206446 227048 245032 266107 292496 315664 342814 382588 406888 412892 454096 490064 532214 685628 765176 813776 825784 1064428 1371256 1530352 1651568 1992629 2128856 2742512 3093529 3985258 4257712 5136961 5543849 6187058 7970516 10273922 10425523 11087698 12374116 15941032 17312107 18683363 20547844 20851046 22175396 24748232 26876807 29005663 31882064 34624214 37366726 41095688 41702092 44350792 48165367 49496464 53753614 58011326 69248428 74733452 82191376 83404184 88701584 96330734 107507228 116022652 138496856 149466904 166808368 192661468 215014456 232045304 276993712 298933808 385322936 430028912 464090608 559928749 770645872 1119857498 1887019663 2239714996 2929571963 3774039326 4479429992 4864702067 5250025003 5859143926 7548078652 8958859984 9729404134 10500050006 11718287852 15096157304 19458808268 21000100012 23436575704 30192314608 38917616536 42000200024 46873151408 77835233072 84000400048 530252525303 1060505050606 2121010101212 4242020202424 8484040404848