Search a number
-
+
2061207502848 = 2153413314147
BaseRepresentation
bin11101111111101001100…
…010101000000000000000
321022001100002120011020000
4131333221202220000000
5232232323110042343
64214523342120000
7301626433460154
oct35775142500000
97261302504200
102061207502848
1172517599968a
12293586280000
1311c4a9211a90
1471a97867064
153893b74ded3
hex1dfe98a8000

2061207502848 has 1280 divisors, whose sum is σ = 7161882900480. Its totient is φ = 586049126400.

The previous prime is 2061207502811. The next prime is 2061207502877. The reversal of 2061207502848 is 8482057021602.

2061207502848 is a `hidden beast` number, since 2 + 0 + 61 + 2 + 0 + 7 + 502 + 84 + 8 = 666.

It is a super-2 number, since 2×20612075028482 (a number of 25 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 43855478761 + ... + 43855478807.

It is an arithmetic number, because the mean of its divisors is an integer number (5595221016).

Almost surely, 22061207502848 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 2061207502848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580941450240).

2061207502848 is an abundant number, since it is smaller than the sum of its proper divisors (5100675397632).

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

2061207502848 is an equidigital number, since it uses as much as digits as its factorization.

2061207502848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2061207502848 in words is "two trillion, sixty-one billion, two hundred seven million, five hundred two thousand, eight hundred forty-eight".