Search a number
-
+
10665004521664 = 261923419300703
BaseRepresentation
bin1001101100110010001111…
…0011100101100011000000
31101202120020111120011012001
42123030203303211203000
52344213412124143124
634403234015513344
72150343516456223
oct233144363454300
941676214504161
1010665004521664
11344200401a899
121242b48528854
135c49232c591c
1428c2907835ba
1513764ba5eb44
hex9b323ce58c0

10665004521664 has 112 divisors (see below), whose sum is σ = 23812778465280. Its totient is φ = 4714339829760.

The previous prime is 10665004521629. The next prime is 10665004521671. The reversal of 10665004521664 is 46612540056601.

It is a super-2 number, since 2×106650045216642 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3503664 + ... + 5797039.

It is an arithmetic number, because the mean of its divisors is an integer number (212614093440).

Almost surely, 210665004521664 is an apocalyptic number.

It is an amenable number.

10665004521664 is an abundant number, since it is smaller than the sum of its proper divisors (13147773943616).

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

10665004521664 is a wasteful number, since it uses less digits than its factorization.

10665004521664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9300798 (or 9300788 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 10665004521664 in words is "ten trillion, six hundred sixty-five billion, four million, five hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 23 32 38 41 46 64 76 82 92 152 164 184 304 328 368 437 608 656 736 779 874 943 1216 1312 1472 1558 1748 1886 2624 3116 3496 3772 6232 6992 7544 12464 13984 15088 17917 24928 27968 30176 35834 49856 60352 71668 143336 286672 573344 1146688 9300703 18601406 37202812 74405624 148811248 176713357 213916169 297622496 353426714 381328823 427832338 595244992 706853428 762657646 855664676 1413706856 1525315292 1711329352 2827413712 3050630584 3422658704 4064407211 5654827424 6101261168 6845317408 7245247637 8128814422 8770562929 11309654848 12202522336 13690634816 14490495274 16257628844 17541125858 24405044672 28980990548 32515257688 35082251716 57961981096 65030515376 70164503432 115923962192 130061030752 140329006864 166640695651 231847924384 260122061504 280658013728 333281391302 463695848768 561316027456 666562782604 1333125565208 2666251130416 5332502260832 10665004521664