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6420225024 = 21033733181
BaseRepresentation
bin1011111101010110…
…01101110000000000
3121120102210020001000
411332223031300000
5101122034200044
62541023412000
7315046004133
oct57653156000
917512706030
106420225024
1127a50600a4
1212b2154000
137b416c025
1444c95a21a
15278993d69
hex17eacdc00

6420225024 has 176 divisors, whose sum is σ = 19280119840. Its totient is φ = 2110095360.

The previous prime is 6420224999. The next prime is 6420225029. The reversal of 6420225024 is 4205220246.

It is a happy number.

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 (6420225029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2016714 + ... + 2019894.

Almost surely, 26420225024 is an apocalyptic number.

6420225024 is a gapful number since it is divisible by the number (64) 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 6420225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640059920).

6420225024 is an abundant number, since it is smaller than the sum of its proper divisors (12859894816).

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

6420225024 is a wasteful number, since it uses less digits than its factorization.

6420225024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 6420225024 is about 80126.3066913732. The cubic root of 6420225024 is about 1858.5892320039.

The spelling of 6420225024 in words is "six billion, four hundred twenty million, two hundred twenty-five thousand, twenty-four".