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10905648460 = 2257677911491
BaseRepresentation
bin10100010100000011…
…01111110101001100
31001011000220100020221
422022001233311030
5134313321222320
65002053521124
7534152324320
oct121201576514
931130810227
1010905648460
114696a55113
1221443431a4
13104a510b35
1475654d980
1543c6533aa
hex28a06fd4c

10905648460 has 48 divisors (see below), whose sum is σ = 26179695360. Its totient is φ = 3738202560.

The previous prime is 10905648449. The next prime is 10905648463. The reversal of 10905648460 is 6484650901.

It is not an unprimeable number, because it can be changed into a prime (10905648463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943315 + ... + 954805.

It is an arithmetic number, because the mean of its divisors is an integer number (545410320).

Almost surely, 210905648460 is an apocalyptic number.

10905648460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10905648460 is an abundant number, since it is smaller than the sum of its proper divisors (15274046900).

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

10905648460 is a wasteful number, since it uses less digits than its factorization.

10905648460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18286 (or 18284 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 10905648460 in words is "ten billion, nine hundred five million, six hundred forty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 6779 11491 13558 22982 27116 33895 45964 47453 57455 67790 80437 94906 114910 135580 160874 189812 229820 237265 321748 402185 474530 804370 949060 1608740 77897489 155794978 311589956 389487445 545282423 778974890 1090564846 1557949780 2181129692 2726412115 5452824230 10905648460