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6230892096 = 2632112132232
BaseRepresentation
bin1011100110110001…
…11101111001000000
3121002020112010002100
411303120331321000
5100230102021341
62510141350400
7310256465112
oct56330757100
917066463070
106230892096
1127081a3500
12125a868400
13783b7b100
144317533b2
152670453b6
hex17363de40

6230892096 has 567 divisors, whose sum is σ = 22221580017. Its totient is φ = 1667128320.

The previous prime is 6230892079. The next prime is 6230892103. The reversal of 6230892096 is 6902980326.

The square root of 6230892096 is 78936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 921729600 + 5309162496 = 30360^2 + 72864^2 .

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 80 ways as a sum of consecutive naturals, for example, 270908341 + ... + 270908363.

Almost surely, 26230892096 is an apocalyptic number.

6230892096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6230892096 is the 78936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6230892096

6230892096 is an abundant number, since it is smaller than the sum of its proper divisors (15990687921).

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

6230892096 is a wasteful number, since it uses less digits than its factorization.

6230892096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The cubic root of 6230892096 is about 1840.1366565170.

The spelling of 6230892096 in words is "six billion, two hundred thirty million, eight hundred ninety-two thousand, ninety-six".