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20154244000000 = 285611241641
BaseRepresentation
bin1001001010100100001101…
…00011011110100100000000
32122100201121220202120001111
410211102012203132210000
510120201342431000000
6110510422030213104
74150044645261655
oct445220643364400
978321556676044
1020154244000000
116470404355200
12231603b654194
13b326c9ba62a6
144d9683519c2c
1524e3d1336cba
hex1254868de900

20154244000000 has 378 divisors, whose sum is σ = 55274980869626. Its totient is φ = 7328640000000.

The previous prime is 20154243999973. The next prime is 20154244000039. The reversal of 20154244000000 is 44245102.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 17973258502144 + 2180985497856 = 4239488^2 + 1476816^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 483979180 + ... + 484020820.

Almost surely, 220154244000000 is an apocalyptic number.

20154244000000 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 20154244000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637490434813).

20154244000000 is an abundant number, since it is smaller than the sum of its proper divisors (35120736869626).

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

20154244000000 is an frugal number, since it uses more digits than its factorization.

20154244000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41709 (or 41659 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 20154244000000 its reverse (44245102), we get a palindrome (20154288245102).

The spelling of 20154244000000 in words is "twenty trillion, one hundred fifty-four billion, two hundred forty-four million", and thus it is an aban number.