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2119098421440 = 26335721113172971
BaseRepresentation
bin11110110101100100000…
…110111101000011000000
321111120202121112112012000
4132311210012331003000
5234204403143441230
64301300025304000
7306046143245400
oct36654406750300
97446677475160
102119098421440
117477828a5660
122a2841935000
13124aa3a216b0
14747ca188800
153a1c8c43b60
hex1ed641bd0c0

2119098421440 has 5376 divisors, whose sum is σ = 11348157542400. Its totient is φ = 364157337600.

The previous prime is 2119098421439. The next prime is 2119098421441. The reversal of 2119098421440 is 441248909112.

2119098421440 is a `hidden beast` number, since 2 + 11 + 90 + 98 + 4 + 21 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2119098421439) and next prime (2119098421441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2119098421441) by changing a digit.

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 767 ways as a sum of consecutive naturals, for example, 29846456605 + ... + 29846456675.

It is an arithmetic number, because the mean of its divisors is an integer number (2110892400).

Almost surely, 22119098421440 is an apocalyptic number.

2119098421440 is a gapful number since it is divisible by the number (20) 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 2119098421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674078771200).

2119098421440 is an abundant number, since it is smaller than the sum of its proper divisors (9229059120960).

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

2119098421440 is a wasteful number, since it uses less digits than its factorization.

2119098421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2119098421440 in words is "two trillion, one hundred nineteen billion, ninety-eight million, four hundred twenty-one thousand, four hundred forty".