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2014946242848 = 2533711222312347
BaseRepresentation
bin11101010100100100001…
…001111011000100100000
321010121221001211122201000
4131110210021323010200
5231003102214232343
64141353054512000
7265401150321060
oct35244411730440
97117831748630
102014946242848
11707596696300
12286615505600
13118015c0ab56
146d7498bd3a0
1537630223ed3
hex1d52427b120

2014946242848 has 576 divisors, whose sum is σ = 7416291778560. Its totient is φ = 520973544960.

The previous prime is 2014946242847. The next prime is 2014946242861. The reversal of 2014946242848 is 8482426494102.

2014946242848 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 9 + 4 + 624 + 2 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×20149462428482 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2014946242794 and 2014946242803.

It is not an unprimeable number, because it can be changed into a prime (2014946242847) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 163187011 + ... + 163199357.

It is an arithmetic number, because the mean of its divisors is an integer number (12875506560).

Almost surely, 22014946242848 is an apocalyptic number.

2014946242848 is a gapful number since it is divisible by the number (28) 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 2014946242848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708145889280).

2014946242848 is an abundant number, since it is smaller than the sum of its proper divisors (5401345535712).

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

2014946242848 is a wasteful number, since it uses less digits than its factorization.

2014946242848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12618 (or 12593 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 2014946242848 in words is "two trillion, fourteen billion, nine hundred forty-six million, two hundred forty-two thousand, eight hundred forty-eight".