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4080952227840 = 211351946315101
BaseRepresentation
bin111011011000101011101…
…101010011100000000000
3112110010122120120221221220
4323120223231103200000
51013330242232242330
612402432533115040
7600560541410145
oct73305355234000
915403576527856
104080952227840
1113337a4162604
1255aaba788a80
13237aa82b2377
1410173a74c3cc
157124cd70710
hex3b62bb53800

4080952227840 has 384 divisors, whose sum is σ = 13773603916800. Its totient is φ = 1028682547200.

The previous prime is 4080952227839. The next prime is 4080952227881. The reversal of 4080952227840 is 487222590804.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270236290 + ... + 270251390.

It is an arithmetic number, because the mean of its divisors is an integer number (35868760200).

Almost surely, 24080952227840 is an apocalyptic number.

4080952227840 is a gapful number since it is divisible by the number (40) 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 4080952227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886801958400).

4080952227840 is an abundant number, since it is smaller than the sum of its proper divisors (9692651688960).

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

4080952227840 is a wasteful number, since it uses less digits than its factorization.

4080952227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15613 (or 15593 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 4080952227840 in words is "four trillion, eighty billion, nine hundred fifty-two million, two hundred twenty-seven thousand, eight hundred forty".