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6255990720 = 26335732111
BaseRepresentation
bin1011101001110001…
…01101011111000000
3121010222202020221000
411310320231133000
5100303013200340
62512435332000
7311013021000
oct56470553700
917128666830
106255990720
112720386471
121267151000
13789128175
14434c08000
15269351d30
hex174e2d7c0

6255990720 has 448 divisors, whose sum is σ = 25749504000. Its totient is φ = 1429263360.

The previous prime is 6255990679. The next prime is 6255990737. The reversal of 6255990720 is 270995526.

6255990720 is a `hidden beast` number, since 6 + 2 + 559 + 90 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×62559907202 = 78274839777452236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2962465 + ... + 2964575.

Almost surely, 26255990720 is an apocalyptic number.

6255990720 is a gapful number since it is divisible by the number (60) 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 6255990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874752000).

6255990720 is an abundant number, since it is smaller than the sum of its proper divisors (19493513280).

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

6255990720 is a wasteful number, since it uses less digits than its factorization.

6255990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 6255990720 is about 79094.8210693975. The cubic root of 6255990720 is about 1842.6040947457.

The spelling of 6255990720 in words is "six billion, two hundred fifty-five million, nine hundred ninety thousand, seven hundred twenty".