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10585978390 = 2513233540461
BaseRepresentation
bin10011101101111100…
…10011011000010110
31000022202101102100201
421312332103120112
5133140002302030
64510234131114
7523221221521
oct116676233026
930282342321
1010585978390
114542566279
122075280a9a
13cc9216b50
14725cd9bb8
1541e55b2ca
hex276f93616

10585978390 has 32 divisors (see below), whose sum is σ = 21412714176. Its totient is φ = 3738725760.

The previous prime is 10585978379. The next prime is 10585978399. The reversal of 10585978390 is 9387958501.

It is a super-2 number, since 2×105859783902 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585978399) 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 15 ways as a sum of consecutive naturals, for example, 1767241 + ... + 1773220.

It is an arithmetic number, because the mean of its divisors is an integer number (669147318).

Almost surely, 210585978390 is an apocalyptic number.

10585978390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10585978390 is an abundant number, since it is smaller than the sum of its proper divisors (10826735786).

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

10585978390 is a wasteful number, since it uses less digits than its factorization.

10585978390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540504.

The product of its (nonzero) digits is 2721600, while the sum is 55.

The spelling of 10585978390 in words is "ten billion, five hundred eighty-five million, nine hundred seventy-eight thousand, three hundred ninety".

Divisors: 1 2 5 10 13 23 26 46 65 115 130 230 299 598 1495 2990 3540461 7080922 17702305 35404610 46025993 81430603 92051986 162861206 230129965 407153015 460259930 814306030 1058597839 2117195678 5292989195 10585978390