Search a number
-
+
2999020405824 = 263259212232
BaseRepresentation
bin101011101001000011100…
…010111100010001000000
3101121200222212222201212100
4223221003202330101000
5343113443210441244
610213421515230400
7426446343562302
oct53510342742100
911550885881770
102999020405824
11a56971920113
12405291a48400
13189a638b8a91
14a5220b7b972
1553028743b69
hex2ba438bc440

2999020405824 has 189 divisors, whose sum is σ = 8751473156023. Its totient is φ = 981926310144.

The previous prime is 2999020405817. The next prime is 2999020405873. The reversal of 2999020405824 is 4285040209992.

It is a happy number.

The square root of 2999020405824 is 1731768.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 2452182877 + ... + 2452184099.

Almost surely, 22999020405824 is an apocalyptic number.

2999020405824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2999020405824 is the 1731768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2999020405824

2999020405824 is an abundant number, since it is smaller than the sum of its proper divisors (5752452750199).

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

2999020405824 is an frugal number, since it uses more digits than its factorization.

2999020405824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2999020405824 in words is "two trillion, nine hundred ninety-nine billion, twenty million, four hundred five thousand, eight hundred twenty-four".