Search a number
-
+
2012558496 = 2531379137149
BaseRepresentation
bin111011111110101…
…0011010010100000
312012020222120020120
41313331103102200
513110203332441
6531412040240
7100605315324
oct16775232240
95166876216
102012558496
11943044a93
12482003080
13260c53620
14151407984
15bba43966
hex77f534a0

2012558496 has 192 divisors, whose sum is σ = 5842368000. Its totient is φ = 602873856.

The previous prime is 2012558491. The next prime is 2012558497. The reversal of 2012558496 is 6948552102.

It is not an unprimeable number, because it can be changed into a prime (2012558491) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13507030 + ... + 13507178.

It is an arithmetic number, because the mean of its divisors is an integer number (30429000).

Almost surely, 22012558496 is an apocalyptic number.

2012558496 is a gapful number since it is divisible by the number (26) 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 2012558496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921184000).

2012558496 is an abundant number, since it is smaller than the sum of its proper divisors (3829809504).

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

2012558496 is a wasteful number, since it uses less digits than its factorization.

2012558496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2012558496 is about 44861.5480785048. The cubic root of 2012558496 is about 1262.5526682730.

The spelling of 2012558496 in words is "two billion, twelve million, five hundred fifty-eight thousand, four hundred ninety-six".