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6655407104 = 2101132509
BaseRepresentation
bin1100011001011000…
…10111010000000000
3122011211022201012102
412030230113100000
5102112241011404
63020224245532
7323633012153
oct61454272000
918154281172
106655407104
112905892955
121358a708a8
13820ac3c18
14471c99c9a
1528e44c71e
hex18cb17400

6655407104 has 66 divisors (see below), whose sum is σ = 13449465510. Its totient is φ = 3291774976.

The previous prime is 6655407091. The next prime is 6655407119. The reversal of 6655407104 is 4017045566.

It can be written as a sum of positive squares in 3 ways, for example, as 54169600 + 6601237504 = 7360^2 + 81248^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13075202 + ... + 13075710.

Almost surely, 26655407104 is an apocalyptic number.

6655407104 is a gapful number since it is divisible by the number (64) 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 6655407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724732755).

6655407104 is an abundant number, since it is smaller than the sum of its proper divisors (6794058406).

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

6655407104 is an equidigital number, since it uses as much as digits as its factorization.

6655407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 6655407104 is about 81580.6784968108. The cubic root of 6655407104 is about 1881.0118952757.

The spelling of 6655407104 in words is "six billion, six hundred fifty-five million, four hundred seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 509 512 904 1018 1024 1808 2036 3616 4072 7232 8144 12769 14464 16288 25538 28928 32576 51076 57517 57856 65152 102152 115034 115712 130304 204304 230068 260608 408608 460136 521216 817216 920272 1634432 1840544 3268864 3681088 6499421 6537728 7362176 12998842 13075456 14724352 25997684 29448704 51995368 58897408 103990736 207981472 415962944 831925888 1663851776 3327703552 6655407104