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6493000560 = 243527054169
BaseRepresentation
bin1100000110000001…
…10101001101110000
3121202111201121022020
412003000311031300
5101244202004220
62552143311440
7316621410534
oct60300651560
917674647266
106493000560
112832147472
1213125ab580
137c626cc87
144584a1bc4
1528006c040
hex183035370

6493000560 has 40 divisors (see below), whose sum is σ = 20128302480. Its totient is φ = 1731466752.

The previous prime is 6493000543. The next prime is 6493000571. The reversal of 6493000560 is 650003946.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13526845 + ... + 13527324.

It is an arithmetic number, because the mean of its divisors is an integer number (503207562).

Almost surely, 26493000560 is an apocalyptic number.

6493000560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6493000560 is an abundant number, since it is smaller than the sum of its proper divisors (13635301920).

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

6493000560 is a wasteful number, since it uses less digits than its factorization.

6493000560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27054185 (or 27054179 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 6493000560 is about 80579.1571065372. The cubic root of 6493000560 is about 1865.5854535077.

The spelling of 6493000560 in words is "six billion, four hundred ninety-three million, five hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 27054169 54108338 81162507 108216676 135270845 162325014 216433352 270541690 324650028 405812535 432866704 541083380 649300056 811625070 1082166760 1298600112 1623250140 2164333520 3246500280 6493000560