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2426906442816 = 26351371139059
BaseRepresentation
bin100011010100001110111…
…001010111110001000000
322121000021021122010200000
4203110032321113301000
5304230301022132231
65054523323400000
7340224001252542
oct43241671276100
98530237563600
102426906442816
11856277465989
12332426083000
13147b1938719b
148566a29d692
15431e1b2a6e6
hex2350ee57c40

2426906442816 has 168 divisors, whose sum is σ = 7266592263840. Its totient is φ = 803063227392.

The previous prime is 2426906442799. The next prime is 2426906442839. The reversal of 2426906442816 is 6182446096242.

2426906442816 is a `hidden beast` number, since 242 + 69 + 0 + 64 + 4 + 281 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 1561095 + ... + 2700153.

It is an arithmetic number, because the mean of its divisors is an integer number (43253525380).

Almost surely, 22426906442816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426906442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633296131920).

2426906442816 is an abundant number, since it is smaller than the sum of its proper divisors (4839685821024).

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

2426906442816 is a wasteful number, since it uses less digits than its factorization.

2426906442816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139223 (or 1139201 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2426906442816 in words is "two trillion, four hundred twenty-six billion, nine hundred six million, four hundred forty-two thousand, eight hundred sixteen".