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3053821680 = 24325713127367
BaseRepresentation
bin1011011000000101…
…1001111011110000
321212211022012210200
42312001121323300
522223234243210
61223005555200
7135451025130
oct26601317360
97784265720
103053821680
111327891478
12712875b00
133988aa2a0
1420d816ac0
1512d1760c0
hexb6059ef0

3053821680 has 480 divisors, whose sum is σ = 12756516864. Its totient is φ = 637507584.

The previous prime is 3053821669. The next prime is 3053821697. The reversal of 3053821680 is 861283503.

3053821680 is a `hidden beast` number, since 30 + 538 + 2 + 16 + 80 = 666.

3053821680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×30538216803 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8320857 + ... + 8321223.

Almost surely, 23053821680 is an apocalyptic number.

3053821680 is a gapful number since it is divisible by the number (30) 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 3053821680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378258432).

3053821680 is an abundant number, since it is smaller than the sum of its proper divisors (9702695184).

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

3053821680 is a wasteful number, since it uses less digits than its factorization.

3053821680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3053821680 is about 55261.3941192221. The cubic root of 3053821680 is about 1450.8234213306.

The spelling of 3053821680 in words is "three billion, fifty-three million, eight hundred twenty-one thousand, six hundred eighty".