Search a number
-
+
2058194798880 = 2535117922721737
BaseRepresentation
bin11101111100110101111…
…110000100100100100000
321021202120010121221022120
4131330311332010210200
5232210140332031010
64213304401304240
7301461662063523
oct35746576044440
97252503557276
102058194798880
1172396a3415a0
12292a85335080
1311c118cccccc
147188d6b4bba
1538811eeae70
hex1df35f84920

2058194798880 has 384 divisors, whose sum is σ = 7194116321280. Its totient is φ = 490447626240.

The previous prime is 2058194798861. The next prime is 2058194798887. The reversal of 2058194798880 is 888974918502.

It is a Cunningham number, because it is equal to 14346412-1.

It is not an unprimeable number, because it can be changed into a prime (2058194798887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94675372 + ... + 94697108.

It is an arithmetic number, because the mean of its divisors is an integer number (18734677920).

Almost surely, 22058194798880 is an apocalyptic number.

2058194798880 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 2058194798880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597058160640).

2058194798880 is an abundant number, since it is smaller than the sum of its proper divisors (5135921522400).

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

2058194798880 is a wasteful number, since it uses less digits than its factorization.

2058194798880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22072 (or 22064 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 69.

The spelling of 2058194798880 in words is "two trillion, fifty-eight billion, one hundred ninety-four million, seven hundred ninety-eight thousand, eight hundred eighty".