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1066463163440 = 24553337746363
BaseRepresentation
bin11111000010011100010…
…10000111010000110000
310202221201122120221200222
433201032022013100300
5114433104032212230
62133532034432212
7140022644214563
oct17411612072060
93687648527628
101066463163440
11381314720344
12152830432668
137974aa49b9c
143988d4324da
151cb1b5e06e5
hexf84e287430

1066463163440 has 80 divisors (see below), whose sum is σ = 2533810245408. Its totient is φ = 417293979648.

The previous prime is 1066463163433. The next prime is 1066463163443. The reversal of 1066463163440 is 443613646601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10664631634402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066463163391 and 1066463163400.

It is not an unprimeable number, because it can be changed into a prime (1066463163443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055699 + ... + 1802061.

Almost surely, 21066463163440 is an apocalyptic number.

1066463163440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066463163440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266905122704).

1066463163440 is an abundant number, since it is smaller than the sum of its proper divisors (1467347081968).

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

1066463163440 is a wasteful number, since it uses less digits than its factorization.

1066463163440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746766 (or 746760 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 1066463163440 in words is "one trillion, sixty-six billion, four hundred sixty-three million, one hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 337 424 530 674 848 1060 1348 1685 2120 2696 3370 4240 5392 6740 13480 17861 26960 35722 71444 89305 142888 178610 285776 357220 714440 746363 1428880 1492726 2985452 3731815 5970904 7463630 11941808 14927260 29854520 39557239 59709040 79114478 158228956 197786195 251524331 316457912 395572390 503048662 632915824 791144780 1006097324 1257621655 1582289560 2012194648 2515243310 3164579120 4024389296 5030486620 10060973240 13330789543 20121946480 26661579086 53323158172 66653947715 106646316344 133307895430 213292632688 266615790860 533231581720 1066463163440