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6106201920 = 26325713231013
BaseRepresentation
bin1011010111111010…
…10011111101000000
3120202112220012022200
411223331103331000
5100001141430140
62445525033200
7304213600650
oct55375237500
916675805280
106106201920
112653878975
121224b55800
137640a1440
1441cd76360
1525b115030
hex16bf53f40

6106201920 has 672 divisors, whose sum is σ = 27000110592. Its totient is φ = 1231110144.

The previous prime is 6106201903. The next prime is 6106201949. The reversal of 6106201920 is 291026016.

6106201920 is a `hidden beast` number, since 6 + 1 + 0 + 620 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6027334 + ... + 6028346.

It is an arithmetic number, because the mean of its divisors is an integer number (40178736).

Almost surely, 26106201920 is an apocalyptic number.

6106201920 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 6106201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13500055296).

6106201920 is an abundant number, since it is smaller than the sum of its proper divisors (20893908672).

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

6106201920 is a wasteful number, since it uses less digits than its factorization.

6106201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1066 counting only the distinct ones).

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

The square root of 6106201920 is about 78142.1903967377. The cubic root of 6106201920 is about 1827.7791566860.

Adding to 6106201920 its reverse (291026016), we get a palindrome (6397227936).

The spelling of 6106201920 in words is "six billion, one hundred six million, two hundred one thousand, nine hundred twenty".