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2379474006 = 2373131931151
BaseRepresentation
bin1000110111010011…
…1110010001010110
320010211101210200220
42031310332101112
514333121132011
61032040215210
7112652124000
oct21564762126
96124353626
102379474006
111011173048
12564a6a506
132bbc7ccb0
14188039370
15ddd6e506
hex8dd3e456

2379474006 has 256 divisors, whose sum is σ = 6537216000. Its totient is φ = 571536000.

The previous prime is 2379473977. The next prime is 2379474017. The reversal of 2379474006 is 6004749732.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15758031 + ... + 15758181.

It is an arithmetic number, because the mean of its divisors is an integer number (25536000).

Almost surely, 22379474006 is an apocalyptic number.

2379474006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2379474006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268608000).

2379474006 is an abundant number, since it is smaller than the sum of its proper divisors (4157741994).

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

2379474006 is a wasteful number, since it uses less digits than its factorization.

2379474006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 2379474006 is about 48779.8524598015. The cubic root of 2379474006 is about 1335.0380844527.

The spelling of 2379474006 in words is "two billion, three hundred seventy-nine million, four hundred seventy-four thousand, six".