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2405274000000 = 273563111289
BaseRepresentation
bin100011000000000101100…
…000001001101010000000
322111221102200101011212020
4203000011200021222000
5303402000121000000
65040545001201440
7335526634444254
oct43000540115200
98457380334766
102405274000000
11848086516473
1232a1a9490280
13145a7c727971
14845b727a264
1542877902ba0
hex23005809a80

2405274000000 has 448 divisors, whose sum is σ = 8018053617600. Its totient is φ = 638848000000.

The previous prime is 2405273999981. The next prime is 2405274000013. The reversal of 2405274000000 is 4725042.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1865999356 + ... + 1866000644.

Almost surely, 22405274000000 is an apocalyptic number.

2405274000000 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 2405274000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009026808800).

2405274000000 is an abundant number, since it is smaller than the sum of its proper divisors (5612779617600).

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

2405274000000 is an frugal number, since it uses more digits than its factorization.

2405274000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

Adding to 2405274000000 its reverse (4725042), we get a palindrome (2405278725042).

The spelling of 2405274000000 in words is "two trillion, four hundred five billion, two hundred seventy-four million", and thus it is an aban number.