Search a number
-
+
2040744375936 = 273271991271701
BaseRepresentation
bin11101101100100101110…
…101111111011010000000
321020002111222120121021200
4131230211311333122000
5231413421030012221
64201301030221200
7300303355662060
oct35544565773200
97202458517250
102040744375936
11717524aa8552
1228b6151b4800
1311a5978c2566
1470ab5c673a0
1538140000426
hex1db25d7f680

2040744375936 has 192 divisors, whose sum is σ = 6745107408000. Its totient is φ = 580139366400.

The previous prime is 2040744375913. The next prime is 2040744375947. The reversal of 2040744375936 is 6395734470402.

It is a happy number.

2040744375936 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 7 + 4 + 43 + 7 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 968886 + ... + 2240586.

It is an arithmetic number, because the mean of its divisors is an integer number (35130767750).

Almost surely, 22040744375936 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 2040744375936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372553704000).

2040744375936 is an abundant number, since it is smaller than the sum of its proper divisors (4704363032064).

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

2040744375936 is a wasteful number, since it uses less digits than its factorization.

2040744375936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271927 (or 1271912 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 2040744375936 in words is "two trillion, forty billion, seven hundred forty-four million, three hundred seventy-five thousand, nine hundred thirty-six".