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6600121920 = 263357611789
BaseRepresentation
bin1100010010110010…
…11101111001000000
3122000222021221012000
412021121131321000
5102004112400140
63010531304000
7322362052650
oct61131357100
918028257160
106600121920
112887662317
12134244b000
13812507cb2
144687c8360
1528967ba30
hex18965de40

6600121920 has 448 divisors, whose sum is σ = 27061363200. Its totient is φ = 1483038720.

The previous prime is 6600121817. The next prime is 6600121937. The reversal of 6600121920 is 291210066.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3688386 + ... + 3690174.

Almost surely, 26600121920 is an apocalyptic number.

6600121920 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 6600121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530681600).

6600121920 is an abundant number, since it is smaller than the sum of its proper divisors (20461241280).

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

6600121920 is a wasteful number, since it uses less digits than its factorization.

6600121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6600121920 is about 81241.1344086233. The cubic root of 6600121920 is about 1875.7890055376.

Adding to 6600121920 its reverse (291210066), we get a palindrome (6891331986).

The spelling of 6600121920 in words is "six billion, six hundred million, one hundred twenty-one thousand, nine hundred twenty".