Search a number
-
+
2983432231780 = 225711132319933251
BaseRepresentation
bin101011011010100010011…
…010110001101101100100
3101120012202112002110001221
4223122202122301231210
5342340032122404110
610202323030430124
7425355142356610
oct53324232615544
911505675073057
102983432231780
11a502a2798250
12402261502344
1318844b254b60
14a45827ac340
1552914e9a7da
hex2b6a26b1b64

2983432231780 has 384 divisors, whose sum is σ = 8784873086976. Its totient is φ = 820385280000.

The previous prime is 2983432231753. The next prime is 2983432231789. The reversal of 2983432231780 is 871322343892.

2983432231780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (2983432231789) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 917695155 + ... + 917698405.

It is an arithmetic number, because the mean of its divisors is an integer number (22877273664).

Almost surely, 22983432231780 is an apocalyptic number.

2983432231780 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 2983432231780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392436543488).

2983432231780 is an abundant number, since it is smaller than the sum of its proper divisors (5801440855196).

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

2983432231780 is a wasteful number, since it uses less digits than its factorization.

2983432231780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 2983432231780 in words is "two trillion, nine hundred eighty-three billion, four hundred thirty-two million, two hundred thirty-one thousand, seven hundred eighty".