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6230599680 = 211351271597
BaseRepresentation
bin1011100110101111…
…10110100000000000
3121002012222020222010
411303113312200000
5100230013142210
62510131212520
7310254136434
oct56327664000
917065866863
106230599680
112708013838
12125a747140
13783aa7c96
144316b89c4
15266ed8920
hex1735f6800

6230599680 has 192 divisors, whose sum is σ = 20102584320. Its totient is φ = 1647378432.

The previous prime is 6230599679. The next prime is 6230599699. The reversal of 6230599680 is 869950326.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×62305996802 = 77640744744832204800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3900642 + ... + 3902238.

It is an arithmetic number, because the mean of its divisors is an integer number (104700960).

Almost surely, 26230599680 is an apocalyptic number.

6230599680 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 6230599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10051292160).

6230599680 is an abundant number, since it is smaller than the sum of its proper divisors (13871984640).

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

6230599680 is a wasteful number, since it uses less digits than its factorization.

6230599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 6230599680 is about 78934.1477435463. The cubic root of 6230599680 is about 1840.1078701725.

The spelling of 6230599680 in words is "six billion, two hundred thirty million, five hundred ninety-nine thousand, six hundred eighty".