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10594481680 = 245891487989
BaseRepresentation
bin10011101110111101…
…01111011000010000
31000100100101102200101
421313132233120100
5133144141403210
64511140302144
7523353415456
oct116736573020
930310342611
1010594481680
114547343992
1220780a1954
13ccac03393
147270b09d6
1542018aa3a
hex2777af610

10594481680 has 40 divisors (see below), whose sum is σ = 24908952600. Its totient is φ = 4190174208.

The previous prime is 10594481633. The next prime is 10594481683. The reversal of 10594481680 is 8618449501.

It can be written as a sum of positive squares in 4 ways, for example, as 205979904 + 10388501776 = 14352^2 + 101924^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105944816802 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10594481680.

It is not an unprimeable number, because it can be changed into a prime (10594481683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 736875 + ... + 751114.

It is an arithmetic number, because the mean of its divisors is an integer number (622723815).

Almost surely, 210594481680 is an apocalyptic number.

10594481680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10594481680 is an abundant number, since it is smaller than the sum of its proper divisors (14314470920).

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

10594481680 is a wasteful number, since it uses less digits than its factorization.

10594481680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488091 (or 1488085 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 10594481680 in words is "ten billion, five hundred ninety-four million, four hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 1487989 2975978 5951956 7439945 11903912 14879890 23807824 29759780 59519560 119039120 132431021 264862042 529724084 662155105 1059448168 1324310210 2118896336 2648620420 5297240840 10594481680