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6423381300 = 22352719237229
BaseRepresentation
bin1011111101101110…
…10000010100110100
3121120122201120122010
411332313100110310
5101123341200200
62541215204220
7315114561120
oct57667202464
917518646563
106423381300
1127a6916496
1212b3216670
137b4a0584b
1444d13c580
15278db9150
hex17edd0534

6423381300 has 432 divisors, whose sum is σ = 23123103360. Its totient is φ = 1347425280.

The previous prime is 6423381277. The next prime is 6423381301. The reversal of 6423381300 is 31833246.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6423381301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28049586 + ... + 28049814.

Almost surely, 26423381300 is an apocalyptic number.

6423381300 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 6423381300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11561551680).

6423381300 is an abundant number, since it is smaller than the sum of its proper divisors (16699722060).

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

6423381300 is a wasteful number, since it uses less digits than its factorization.

6423381300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6423381300 is about 80145.9999001822. Note that the first 4 decimals coincide. The cubic root of 6423381300 is about 1858.8937519400.

The spelling of 6423381300 in words is "six billion, four hundred twenty-three million, three hundred eighty-one thousand, three hundred".