Search a number
-
+
5612494621440 = 2835751923199
BaseRepresentation
bin101000110101100001010…
…1111111000101100000000
3201212112211101210201022110
41101223002233320230000
51213423342110341230
615534202221535320
71116326564100000
oct121530257705400
921775741721273
105612494621440
111874277995083
127678a5114540
133193434a71a5
14155909200000
159aed94644b0
hex51ac2bf8b00

5612494621440 has 1728 divisors, whose sum is σ = 23085361152000. Its totient is φ = 1156654743552.

The previous prime is 5612494621399. The next prime is 5612494621441. The reversal of 5612494621440 is 441264942165.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5612494621440.

It is not an unprimeable number, because it can be changed into a prime (5612494621441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28203490461 + ... + 28203490659.

It is an arithmetic number, because the mean of its divisors is an integer number (13359584000).

Almost surely, 25612494621440 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 5612494621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11542680576000).

5612494621440 is an abundant number, since it is smaller than the sum of its proper divisors (17472866530560).

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

5612494621440 is an equidigital number, since it uses as much as digits as its factorization.

5612494621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 5612494621440 in words is "five trillion, six hundred twelve billion, four hundred ninety-four million, six hundred twenty-one thousand, four hundred forty".