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6366474240 = 212357113131
BaseRepresentation
bin1011110110111100…
…01011000000000000
3121102200122101211020
411323132023000000
5101014304133430
62531423345440
7313524065250
oct57336130000
917380571736
106366474240
112777788365
121298152280
137a5c9c629
14445767960
15273dc7b10
hex17b78b000

6366474240 has 416 divisors, whose sum is σ = 23665568256. Its totient is φ = 1431306240.

The previous prime is 6366474193. The next prime is 6366474259. The reversal of 6366474240 is 424746636.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6366474192 and 6366474201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48598975 + ... + 48599105.

Almost surely, 26366474240 is an apocalyptic number.

6366474240 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 6366474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832784128).

6366474240 is an abundant number, since it is smaller than the sum of its proper divisors (17299094016).

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

6366474240 is a wasteful number, since it uses less digits than its factorization.

6366474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The square root of 6366474240 is about 79790.1888705623. The cubic root of 6366474240 is about 1853.3879228726.

The spelling of 6366474240 in words is "six billion, three hundred sixty-six million, four hundred seventy-four thousand, two hundred forty".