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6428160000 = 212345431
BaseRepresentation
bin1011111110010010…
…11111000000000000
3121120222201100210000
411333021133000000
5101131102110000
62541505440000
7315203313153
oct57711370000
917528640700
106428160000
1127a958a829
1212b4940000
137b59b9992
1444da23c9a
15279510000
hex17f25f000

6428160000 has 650 divisors, whose sum is σ = 24769846112. Its totient is φ = 1658880000.

The previous prime is 6428159989. The next prime is 6428160007. The reversal of 6428160000 is 618246.

6428160000 is a `hidden beast` number, since 642 + 8 + 16 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6428160007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 207359985 + ... + 207360015.

Almost surely, 26428160000 is an apocalyptic number.

6428160000 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 6428160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384923056).

6428160000 is an abundant number, since it is smaller than the sum of its proper divisors (18341686112).

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

6428160000 is an frugal number, since it uses more digits than its factorization.

6428160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6428160000 is about 80175.8068247523. The cubic root of 6428160000 is about 1859.3546147990.

Adding to 6428160000 its reverse (618246), we get a palindrome (6428778246).

The spelling of 6428160000 in words is "six billion, four hundred twenty-eight million, one hundred sixty thousand".