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6330823968 = 2537233173181
BaseRepresentation
bin1011110010101100…
…01011010100100000
3121100012120011211210
411321112023110200
5100431142331333
62524111310120
7312612054510
oct57126132440
917305504753
106330823968
112759648827
12128821b340
1379b7998b1
14440b27840
15270bd4a63
hex17958b520

6330823968 has 384 divisors, whose sum is σ = 20852342784. Its totient is φ = 1642291200.

The previous prime is 6330823931. The next prime is 6330823969. The reversal of 6330823968 is 8693280336.

It is a super-2 number, since 2×63308239682 = 80158664227606530048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6330823969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34976838 + ... + 34977018.

It is an arithmetic number, because the mean of its divisors is an integer number (54302976).

Almost surely, 26330823968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6330823968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10426171392).

6330823968 is an abundant number, since it is smaller than the sum of its proper divisors (14521518816).

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

6330823968 is a wasteful number, since it uses less digits than its factorization.

6330823968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 6330823968 is about 79566.4751512847. The cubic root of 6330823968 is about 1849.9219804448.

The spelling of 6330823968 in words is "six billion, three hundred thirty million, eight hundred twenty-three thousand, nine hundred sixty-eight".