Search a number
-
+
2010045352000 = 2653753677239
BaseRepresentation
bin11101010000000000000…
…010100000100001000000
321010011021111221121100011
4131100000002200201000
5230413033102231000
64135222503434304
7265135540405420
oct35200002404100
97104244847304
102010045352000
11705501221494
12285688155994
1311771477043a
146d402a5a480
1537444d482ba
hex1d4000a0840

2010045352000 has 224 divisors, whose sum is σ = 5796350876160. Its totient is φ = 676154419200.

The previous prime is 2010045351983. The next prime is 2010045352033. The reversal of 2010045352000 is 2535400102.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2629381 + ... + 3306619.

Almost surely, 22010045352000 is an apocalyptic number.

2010045352000 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 2010045352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898175438080).

2010045352000 is an abundant number, since it is smaller than the sum of its proper divisors (3786305524160).

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

2010045352000 is an equidigital number, since it uses as much as digits as its factorization.

2010045352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677326 (or 677306 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The spelling of 2010045352000 in words is "two trillion, ten billion, forty-five million, three hundred fifty-two thousand".