Search a number
-
+
6422328000 = 263453111753
BaseRepresentation
bin1011111101100110…
…01111001011000000
3121120120202001210000
411332303033023000
5101123103444000
62541140440000
7315102613224
oct57663171300
917516661700
106422328000
1127a62670a0
1212b29a9000
137b47272aa
1444cd46784
15278c5c000
hex17eccf2c0

6422328000 has 1120 divisors, whose sum is σ = 27961547328. Its totient is φ = 1437696000.

The previous prime is 6422327963. The next prime is 6422328013. The reversal of 6422328000 is 8232246.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 121175974 + ... + 121176026.

Almost surely, 26422328000 is an apocalyptic number.

6422328000 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 6422328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980773664).

6422328000 is an abundant number, since it is smaller than the sum of its proper divisors (21539219328).

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

6422328000 is a wasteful number, since it uses less digits than its factorization.

6422328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6422328000 is about 80139.4284980870. The cubic root of 6422328000 is about 1858.7921398383.

The spelling of 6422328000 in words is "six billion, four hundred twenty-two million, three hundred twenty-eight thousand".